Luisa makes and sells necklaces. The total amount she charges varies directly imeaning it's proportional so it
starts at the
.) to the number of necklaces bought. Find the slope. Then write an equation in y = mx
form to represent the situation.
Number of Necklaces,
3 5 8
Total Charge (S).
$39
$65
$104
Equation

Answers

Answer 1

The proportional equation that represents the situation is:

y = 13x

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

[tex]y = kx[/tex]

In which k is the constant of proportionality, also called slope.

In this problem, the points (number, cost) are: (3,39), (5,65) and (8,104), hence the slope is given by:

[tex]k = \frac{39}{3} = \frac{65}{5} = \frac{104}{8} = 13[/tex]

Hence, the equation is:

y = 13x.

More can be learned about proportional equations at https://brainly.com/question/10424180

Answer 2

The slope of the linear equation is $13 per necklace.

Linear equation

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope (rate of change), and b is the y intercept (initial value of y).

Let y represent the total charge for x number of necklaces.

From the table, using (3, 39) and (8, 104), hence:

m = (104 - 39) / (8 - 3) = 13

The slope of the linear equation is $13 per necklace.

Find out more on Linear equation at: https://brainly.com/question/14323743


Related Questions

(27/8)^1/3×[243/32)^1/5÷(2/3)^2]
Simplify this question sir pleasehelpme​

Answers

Step-by-step explanation:

[tex] = {( \frac{27}{8} )}^{ \frac{1}{3} } \times ( \frac{243}{32} )^{ \frac{1}{5} } \div {( \frac{2}{3} )}^{2} [/tex]

[tex] = { ({ (\frac{3}{2} )}^{3}) }^{ \frac{1}{3} } \times {( {( \frac{3}{2}) }^{5} )}^{ \frac{1}{5} } \div {( \frac{2}{3} )}^{2} [/tex]

[tex] = {( \frac{3}{2} )}^{3 \times \frac{1}{3} } \times {( \frac{3}{2} )}^{5 \times \frac{1}{5} } \times {( \frac{3}{2} )}^{2} [/tex]

[tex] = \frac{3}{2} \times \frac{3}{2} \times {( \frac{3}{2} )}^{2} [/tex]

[tex] = {( \frac{3}{2} )}^{1 + 1 + 2} [/tex]

[tex] = {( \frac{3}{2} )}^{4} \: or \: \frac{81}{16} [/tex]

[tex]\large\underline{\sf{Solution-}}[/tex]

[tex]\sf{\longmapsto{\bigg( \dfrac{27}{8} \bigg)^{\frac{1}{3}} \times \Bigg[\bigg( \dfrac{243}{32} \bigg)^{\frac{1}{5}} \div \bigg(\dfrac{2}{3} \bigg)^{2}\Bigg]}} \\[/tex]

We can write as :

27 = 3 × 3 × 3 = 3³

8 = 2 × 2 × 2 = 2³

243 = 3 × 3 × 3 × 3 × 3 = 3⁵

32 = 2 × 2 × 2 ×2 × 2 = 2⁵

[tex]\sf{\longmapsto{\bigg( \dfrac{3 \times 3 \times 3}{2 \times 2 \times 2} \bigg)^{\frac{1}{3}} \times \Bigg[\bigg( \dfrac{3 \times 3 \times 3 \times 3 \times 3}{2 \times 2 \times 2 \times 2 \times 2} \bigg)^{\frac{1}{5}} \div \bigg(\dfrac{2}{3} \bigg)^{2}\Bigg]}} \\[/tex]

[tex]\sf{\longmapsto{\bigg( \dfrac{{(3)}^{3}}{{(2)}^{3}} \bigg)^{\frac{1}{3}} \times \Bigg[\bigg( \dfrac{({3}^{5})}{{(2)}^{5}} \bigg)^{\frac{1}{5}} \div \bigg(\dfrac{2}{3} \bigg)^{2}\Bigg]}} \\[/tex]

Now, we can write as :

(3³/2³) = (3/2)³

(3⁵/2⁵) = (3/2)⁵

[tex]\sf{\longmapsto{\left\{\bigg(\frac{3}{2} \bigg)^{3} \right\}^{\frac{1}{3}} \times \Bigg[\left\{\bigg(\frac{3}{2} \bigg)^{5} \right\}^{\frac{1}{5}} \div \bigg(\dfrac{2}{3} \bigg)^{2}\Bigg]}} \\[/tex]

Now using law of exponent :

[tex]{\sf{({a}^{m})^{n} = {a}^{mn}}}[/tex]

[tex]\sf{\longmapsto{\bigg( \frac{3}{2} \bigg)^{3 \times \frac{1}{3}} \times \Bigg[\bigg(\frac{3}{2} \bigg)^{5 \times \frac{1}{5}} \div \bigg(\dfrac{2}{3} \bigg)^{2}\Bigg]}} \\[/tex]

[tex] \sf{\longmapsto{\bigg( \frac{3}{2} \bigg)^{\frac{3}{3}} \times \Bigg[\bigg(\frac{3}{2} \bigg)^{\frac{5}{5}} \div \bigg(\dfrac{2}{3} \bigg)^{2}\Bigg]}} \\[/tex]

[tex]\sf{\longmapsto{\bigg( \frac{3}{2} \bigg)^{1} \times\Bigg[\bigg(\frac{3}{2} \bigg)^{1} \div \bigg(\dfrac{2}{3} \bigg)^{2}\Bigg]}} \\[/tex]

[tex]\sf{\longmapsto{\bigg( \frac{3}{2} \bigg)^{1} \times \Bigg[\bigg(\frac{3}{2} \bigg)^{1} \times \bigg(\dfrac{3}{2} \bigg)^{2}\Bigg]}} \\[/tex]

[tex]\sf{\longmapsto{\bigg( \frac{3}{2} \bigg)^{1} \times \Bigg[\bigg(\frac{3}{2} \bigg)^{1} \times \bigg(\dfrac{3}{2} \times \dfrac{3}{2} \bigg)\Bigg]}} \\[/tex]

[tex]\sf{\longmapsto{\bigg( \dfrac{3}{2} \bigg)^{1} \times \Bigg[\bigg(\dfrac{3}{2} \bigg)^{1} \times \bigg(\dfrac{3 \times 3}{2 \times 2}\bigg)\Bigg]}} \\[/tex]

[tex]\sf{\longmapsto{\bigg( \dfrac{3}{2} \bigg)^{1} \times \Bigg[\bigg(\dfrac{3}{2} \bigg)^{1} \times \bigg(\dfrac{9}{4}\bigg)\Bigg]}} \\[/tex]

[tex] \sf{\longmapsto{\bigg( \frac{3}{2} \bigg)\times \Bigg[\bigg(\frac{3}{2} \bigg)\times \bigg(\dfrac{9}{4}\bigg)\Bigg]}} \\[/tex]

[tex]\sf{\longmapsto{\bigg( \dfrac{3}{2} \bigg)\times \Bigg[ \: \: \dfrac{3}{2} \times \dfrac{9}{4} \: \: \Bigg]}}\\[/tex]

[tex]\sf{\longmapsto{\bigg( \dfrac{3}{2} \bigg)\times \Bigg[ \: \: \dfrac{3 \times 9}{2 \times 4} \: \: \Bigg]}} \\[/tex]

[tex]\sf{\longmapsto{\bigg(\dfrac{3}{2} \bigg)\times \Bigg[ \: \: \dfrac{27}{8} \: \: \Bigg]}} \\[/tex]

[tex]\sf{\longmapsto{\dfrac{3}{2} \times \dfrac{27}{8}}} \\[/tex]

[tex]\sf{\longmapsto{\dfrac{3 \times 27}{2 \times 8}}} \\[/tex]

[tex] \sf{\longmapsto{\dfrac{81}{16}}\: ≈ \:5.0625\:\red{Ans.}} \\[/tex]

Victoria saved $150 from babysitting and donated 10% to the local animal shelter how much of the $150 did Victoria donate?

Answers

Answer:

$15

Step-by-step explanation:

24. A triangle has side lengths of 6, 8, and 9. What type of triangle is it?
acute
equiangular
obtuse
right

Answers

Answer:


It a acute

Hope this help you :)

lennys lizard weighs 6 pound less than duble the laura's lizard lennys weighs 60 pounds find the weight of lauras lizard

Answers

(Me, going to answer the easy questions because hard ones give me headaches)

Alright, listen up.

Steps:

First step: 60 is Lenny's lizard weight. Since it said 6 pounds less than double the lizard weight, we are going to multiply 60 by 2, therefore it would be 120.

Next step: Now 6 pounds less, so we are going to subtract 6 from that 120. 120 - 6 = 114.

Last step...: Label/answer: Lenny's lizard weight is 114 pounds.

Answer:

Laura’s lizard weights 33 pounds

Step-by-step explanation:

Let 2x be Laura’s lizard and

Let 2x - 6 be Lenny’s lizard

We know Lenny’s lizard is 60 pounds. Now to find Laura’s , equate( 2x - 6 )to 60 and solve for x

60 = 2x - 6

x =33

Therefore 33 is the answer

Which of the following is true?

|−5| < 4
|−4| < |−5|
|−5| < |4|
|−4| < −5

Answers

Answer:

|-4| < |-5|

Step-by-step explanation:

because if modules is given sub sign will be deducate

Which statement is true about the polynomial
–10m4n3 + 8m2n6 + 3m4n3 – 2m2n6 – 6m2n6 after it has been fully simplified?

Answers

Answer:

Below.

Step-by-step explanation:

–10m4n3 + 8m2n6 + 3m4n3  – 2m2n6 – 6m2n6

= 8m2n6 – 2m2n6 – 6m2n6 – 10m4n3 + 3m4n3

= 8m2n6 - 8m2n6 – 7m4n3

= –7m4n3.

It is a mononomial.

Please help! 15 points!! brainliest if right

Answers

Answer:

a)7x-3x

b)4+28y

Step-by-step explanation:

first one follow bidmas

2nd one just do 4 times 1 =4 and 7y times 4 equals 28y

what is the percentage discount when a stereo is reduced from $258 to $199?

Answers

23% if you’re rounding it

please answer it is related to square root​

Answers

Answer:

Step-by-step explanation:

[tex]2\sqrt{8}+3\sqrt{50}=2\sqrt{2*2*2} + 3\sqrt{5*5*2}\\\\= 2*2\sqrt{2}+3*5\sqrt{2}\\\\=4\sqrt{2}+15\sqrt{2}\\\\= 19\sqrt{2}[/tex]

[tex]3\sqrt{12}+4\sqrt{27}=3\sqrt{2*2*3}+4\sqrt{3*3*3}\\\\=3*2\sqrt{3}+4*3\sqrt{3}\\\\=6\sqrt{3}+12\sqrt{3}\\\\=(6+12)\sqrt{3}\\\\= 18\sqrt{3}[/tex]

What does changing the “a” variable do to the graph of a quadratic?

Answers

Answer:

makes it slope

Step-by-step explanation:

there are red blue and green ribbon on the tabel.there are a total of 36 ribbon.3/6 of the ribbon is red.how manny ribbon is red

Answers

Answer:

18

Step-by-step explanation:

3/6 =1/2

1/2 of 36 is 18

Ayuda porfa no entiendo

Answers

Que es tu pregunta?

This is a graphing problem and I am trying to find the x-intercepts and the y-intercepts. Please show me the full steps. I really appreciate it thank you.

Answers

Answer:

y-intercept: y = 3/4no x-intercepts

Step-by-step explanation:

To find the y-intercept, set x=0 and evaluate the function.

  f(0) = -3/(0 -4) = 3/4

The y-intercept is (0, 3/4).

__

To find the x-intercept(s), set f(x) = 0 and solve for x.

  0 = -3/(x^2 -4)

  0 = -3 . . . . . . . . . . multiply by (x^2 -4), x ≠ ±2

There are no values of x that will make this true. There are no x-intercepts.

_____

Additional comments

In general, you find the x-intercepts of a rational function by finding the zeros of the numerator. Here, the numerator is -3, so cannot ever be zero.

I find a graphing calculator to be a useful tool for showing where to look for x-and y-intercepts. The attached graph shows y=0 (the x-axis) is a horizontal asymptote, so there are no x-intercepts.

9 DNG AKUM
Solve for x :
N
M
5
U7
X+7
D 8 G
K 35 J

Answers

Answer:

x = 49

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{DN}{KJ}[/tex] = [tex]\frac{DG}{KM}[/tex] , substitute values

[tex]\frac{5}{35}[/tex] = [tex]\frac{8}{x+7}[/tex] ( cross- multiply )

5(x + 7) = 280 ( divide both sides by 5 )

x + 7 = 56 ( subtract 7 from both sides )

x = 49

C+X=G
what is X?
this is a literal equation.​

Answers

Answer:

x=g-c

Step-by-step explanation:

x= g - c
hope this helps!

What is the value of x+y in this question and what’s the equation?

Answers

Answer:

Step-by-step explanation:x

Make x the subject, 2x + y = s

Answers

Answer:

2x+y=s

2x\2+y\2=s\2

therefore x= s\2-y\2

PLEASE HELP!!! I NEED THIS DONE AS SOON AS POSSIBLE 20 points Make a table of order pairs for the equation y=-1/3+4 then plot two points to graph the equation

Answers

Answer:

ok so.u grit da he on 40/ rock cause u got a andriodnh on gf

Someone please help me answer this asap thank you x
(The empty box)

Answers

Two thirds is the answer! If you multiply it back by 100/1 you’ll get back 66.66

If f (x) = 3x + 1 and g(x) = 2x + 1, what is the value of f (g(2))?

Answers

Step-by-step explanation:

= f( g(2) )

= 3(2x + 1) + 1

= 6x + 3 + 1

= 6x + 4

= 6(2) + 4

= 12 + 4

= 16

f(g(2)) = 16

Jonah earns $3 an hour working after school and $4 an hour working on Saturdays. Last week he earned $43, working a total of 13 hours. How many hours did he work on Saturday?

Answers

Answer:

9 hours worked after school and 4 hours worked on saturday

Step-by-step explanation:

x = amount of hours worked after school

y = amount of hours worked on saturday

x + y = 13 or x = 13 - y

and

3x + 4y = 43

plug:

3 · (13 - y) + 4y = 43

39 - 3y + 4y = 43

y = 4

plug:

x = 13 - y

x = 13 - 4 = 9

9 hours worked after school and 4 hours worked on saturday

Which integer can you multiply by itself to get 400 as the square number?

a. 10
b. 20
c. 30
d. 40.

Answers

Answer:

20

Step-by-step explanation:

20*20 = 400

OR

[tex]20 {}^{2} = 400[/tex]

which input value produces the same output value for the two funcions on the graphs
Rox) = x+1
9(x) = 3x-2

Answers

Answer: i solved on my channel

Step-by-step explanation: https://youtu.be/rTgj1HxmUbg

labron has $15,300 of total liabilities and $52,580 of total assets.what is his net worth​

Answers

Answer:

.......................

Please I need help ASAP. Can someone help me?

Answers

Answer: The second bubble thing is correct you have picked the wrong one.

you are renting a house in the seychelles for a week at $1500. What is the cost per day?

Answers

Step-by-step explanation:

cost per day

= $1500 / week

= $1500 / 7 days

= $1500 ÷ 7 / 7 ÷ 7

≈ $214,29 / day

Reduce answers to their lowest
terms and mixed forms.
2 4
5
2/
+
f

Answers

Answer:

10 + 28 / 35

= 38 / 35

= 1.0875

2/7 + 4/5 = 38/35
38/35 is already reduced to it’s lowest term.
38/35’s mixed term is 1, 3/35

For a company picnic, Nick ordered a box of fresh-baked gingerbread cookies and sugar cookies. The box included a total of 36 cookies, and 25% of them were gingerbread. How many gingerbread cookies did Nick get?

Answers

Answer: 9

Step-by-step explanation:

36 ÷ 4 = 9

Express the tan G as a fraction in simplest terms.

Answers

Answer:

[tex]\frac{\sqrt{70} }{5}[/tex]

The perimeter of a rectangular field is 312m. If the width of the field is 61m,what is the length.

Answers

Answer:

95m

Step-by-step explanation:

312 - 61 - 61 = 190

190/2 = 95

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