This graph shows the relationship between the number of cubic yards and total cost of topsoil at a garden shop.

Mulch
The equation, y=25x, represents
the cost, y, in dollars, of x cubic
yards of mulch at the garden shop.

Type an equation to represent the cost of the topsoil. Show your work.
and
How does the cost of the topsoil compare to the cost of the mulch?

Answer: y=30x

top soil is 5 more dollars than mulch

Step-by-step explanation:

to find y=30x

see what y equals when x equals 1

The cost of the topsoil is $5 more than the cost of the mulch.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, the equation, y=25x, represents the cost, y, in dollars, of x cubic yards of mulch at the garden shop.

From the, graph we have coordinates (1, 30) and (2, 60)

We know that, slope of points is (y2-y1)/(x2-x1)

Now, (60-30)/(2-1)

= 30

Substitute, m=30 and (x,y)=(1, 30) in y=mx+c, we get

30=30(1)+c

c=0

Substitute, m=30 and c=0 in y=mx+c, we get

y=30x

Per 1 cubic yard

Topsoil is y=30x=$30 and cost of the mulch is y=25x=$25

So, difference in cost is 30-25=5

Comparing cost in both the situation, the cost of the mulch is less than topsoil

Therefore, the cost of the topsoil is $5 more than the cost of the mulch.

To learn more about an equation visit:

https://brainly.com/question/14686792.

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