Question

A landscaping company charges $50 per cubic yard of mulch plus a delivery charge of $24. Find a

linear function which computes the total cost C(in dollars) to deliver a cubic yards of mulch.
C(x) =

Answer 1

Answer: c(x) = $50*x + $24

Explanation:

First, this situation can be modeled with a linear equation like:

c(x) = s*x + b

where c is the cost, s is the slope, x is the number of cubic yards of mulch bought, and b is the y-intercept ( a constant that no depends on the number x)

Then we know that:

The company charges $50 per cubic yard, so the slope is $50

A delivery charge of $24, this delivery charge does not depend on x, so this is the y-intercept.

Then our equation is:

c(x) = $50*x + $24

This is:

"The cost of buying x cubic yards of mulch"