Malcolm and Theo's families are both traveling to the same vacation resort.
The equation d = 65t models the distance, d, that Malcolm's family travels after t hours.
The graph below shows the relationship between the distance and the amount of time that Theo's family traveled.
Answers
Answer:
Malcom's family travel 15 miles per hour faster than Theo's
Step-by-step explanation:
See attachment for complete question
Given
Malcom's Family:
[tex]d = 65t[/tex]
To determine the equation of Theo's family, we refer to the attached graph.
From the graph:
[tex]t = 1; d = 50[/tex]
[tex]t = 2; d = 100[/tex]
First, we determine the slope, m:
[tex]m = \frac{d_2 - d_1}{t_2 - t_1}[/tex]
[tex]m = \frac{100 - 50}{2- 1}[/tex]
[tex]m = \frac{50}{1}[/tex]
[tex]m = 50[/tex]
Next, we determine equation for Theo's family using:
[tex]d - d_1 = m(t - t_1)[/tex]
[tex]d - 50 =50(t - 1)[/tex]
[tex]d - 50 =50t - 50[/tex]
Add 50 to both sides
[tex]d - 50 +50=50t - 50 + 50[/tex]
[tex]d =50t[/tex]
So, we have the following:
[tex]d = 65t[/tex] --- For Malcom's family
This implies that Malcom's family travel at 65 miles per hour
[tex]d =50t[/tex] --- For Theo's family
This implies that Theo's family travel at 50 miles per hour
The difference between this rates is:
[tex]Rate = 65t - 50t[/tex]
[tex]Rate = 15t[/tex]
Which implies that Malcom's family travel 15 miles per hour faster than Theo's
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Answers
Answer:
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========================================================
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Answer:
Step-by-step explanation:
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Answers
Step-by-step explanation:
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If am wrong sorry
Answer:
x = 4
Step-by-step explanation:
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Answers
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Answer:
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Step-by-step explanation:
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The amount a hardware store pays for buying nylon rope is represented by the equation y = 0.08x, where 'y' is the price it pays for 'x' feet of rope. The amount the hardware store charges for selling the rope is represented by the graph. Part A What does the slope of the graph show about the hardware store's selling price for the rope?
Answers
Answer:
0.025 $/in.
The store bought 300 ft of rope.
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300 ft * 12 in./ft = 3600 in.
The store bought 3600 inches of rope.
The store sells 40 inches of rope for $1.60. We can find the selling unit price of rope in dollars per inch.
($1.60)/(40 in.) = $0.04/in.
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Step-by-step explanation:
The slope tells for every one-foot increase in the amount of rope sold, the hardware store increases the selling price by $0.08.
The slope of the graph represents the rate of change between the hardware store's selling price (y-axis) and the quantity of nylon rope sold (x-axis).
In this case, the slope is given as 0.08.
Interpreting the slope:
A slope of 0.08 means that for each additional foot of nylon rope the hardware store sells (x increases by 1), the selling price (y) increases by $0.08.
This indicates a linear relationship between the quantity of rope sold and the selling price.
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Which situation represents an example of a non-proportional relationship?
A. A restaurant charges $1.75 for each soft drink.
B. A cell phone company charges customers 10 cents per text sent or received.
C. A gym charges a membership fee of $50, plus a monthly charge of $20 per month.
D. A dog walker charges $10 to walk one dog for 30 minutes.
Answers
So a non-proportional relationship is basically a line that does not cross the origin of a graph. So using the linear exhaustion of a line, y=mx+b, a PROPORTIONAL RELATIONSHIP would be something along the lines of y=mx+0 because b, which is the w intercept is 0. If the y intercept is 0 then the line will cross the origin of the graph. So with this being said a NO -PROPORTIONAL RELATIONSHIP would be anything that has a b value besides 0, because then the line would cross at a y intercept besides the origin.
So with this being said the equation of a line for:
a) would be y=1.75x (because it is only charging per drink, and nothing else, there is no b value or y intercept). This means this is a PROPORTIONAL RELATIONSHIP, crossing the origin (THIS IS NOT THE ANSWER)
b) would be y=0.10x (because it is only charging per amount of texts, and nothing else, there is agin no b value, so the y intercept is 0, crossing the origin). (THIS IS ALSO NOT THE ANSWER)
C) would be y=20x+50 (x is the number of months, which then determine the amount of money you spend at the gym based on how many months you go there. Plus, you have to add in the cost of the gym membership as well, being 50$. So, in this case because 50 is being added to the 20x, the b value or y intercept would be 50. This WOULD NOT cross the origin because the intercept is not 0, as a result THIS IS YOUR ANSWER)!
d)(this one I don’t exactly know how to explain... but I don’t think you can really make a proper linear equation because it is dealing with time (30min) but also money (10 for one dog). In this case you would have to have a variable for the number of dogs and the amount of time your dog(s) are walked (30 min). So in this case, the equation y=10x+30z (let’s say d is the number of dogs and s is the number of 30 min increments), The equation would not make sense because you are working with two different things... time and money in the same equation. You cannot add the 30minutes plus 10$ because that is combining two different units. So with this, I don’t think this is the answer. (I’m sorry about this one, I don’t know for sure if this is the right explanation for this or not, but I don’t think this is the correct option. I think c would be)!
I hope this helps!!! :)
Good luck!
Option c is the correct answer. A gym charges a membership fee of $50, plus a monthly charge of $20 per month.
What is a proportional relationship?Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportionate relationship, one variable is consistently equal to the other's constant value. That constant is known as the "constant of proportionality".
So a non-proportional relationship is basically a line that does not cross the origin of a graph. So using the linear exhaustion of a line, y=mx+b, a proportional relationship would be something along the lines of y=mx+0 because b, which is the w intercept is 0. I
Having said that, here is the equation for a line:
a) would be y=1.75x (because it is only charging per drink, and nothing else, there is no b value or y-intercept). This means this is a
b) would be y=0.10x (because it is only charging per amount of texts, and nothing else, there is again no b value, so the y-intercept is 0, crossing the origin). (THIS IS ALSO NOT THE ANSWER)
c) y=20x+50 (x is the number of months, which then determine the amount of money you spend at the gym based on how many months you go there. Plus, you have to add in the cost of the gym membership as well, being 50$. So, in this case, because 50 is being added to the 20x, the b value or y-intercept would be 50.
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whats the slope to this
Answers
Answer:
-14/15
Step-by-step explanation:
-11-0/-15-3
-11/-18
14. Write a description of the rule (x,y) (x + 10, y + 8)
a translation 10 units to the right and 8 units up
b. translation 10 units left and 8 units down
c. translation 10 units to the right and 8 units down
d. translation 10 units to the left and 8 units up
Answers
Answer:
A
Step-by-step explanation: took the test
