Question

A landscape supply business charges $35 to deliver mulch. The cost of the mulch is $29.

per cubic yard. Write and solve a linear equation to find the cost of having 6 cubic yards
of mulch delivered to a site.
Slope intercept form

Answer 1

$209

Explanation:

we know that

The equation of the line in slope intercept form is equal to

`y=mx+b`

where

m is the slope

b is the y-coordinate of the y-intercept (initial value)

Let

x ----> the volume of mulch in cubic yards

y ----> the total cost in dollars

we have that

The slope of the linear equation is

`m=29\ (\$)/(yd^3)`

`b=\$35` ----> flat fee to deliver mulch

The linear equation is

`y=29x+35`

For x=6 yd^3

substitute in the equation and solve for y

`y=29(6)+35`

`y=\$209`