A landscaping company charges $48 per cubic yard of mulch plus a delivery charge of $25. Find a linear function which computes the total cost C (in dollars) to deliver x cubic yards of mulch
To find a linear function that computes the total cost, we need to determine the rate of change (slope) and the initial cost (y-intercept).
The given information tells us that the cost per cubic yard of mulch is $48, so the slope of the linear function is $48 per cubic yard.
The delivery charge is a fixed cost of $25, independent of the number of cubic yards of mulch. Therefore, the initial cost (y-intercept) is $25.
Thus, the linear function that computes the total cost C is:
C(x) = 48x + 25
Where C is the total cost in dollars and x is the number of cubic yards of mulch.