Question

For a standard hedge garden, Fran charges a flat rate of $25 then an additional $135 per hedge planted. One of Fran’s neighbor companies, owned by Shirley, charges a flat rate of $65 and an additional fee of $150 per hedge.

Write a function f(h) to represent the total charge in dollars for planting h, hedges, by Fran’s company and a function s(h) to represent the total charge in dollars for planting h, hedges, by Shirley’s company. Subtract f(h) from s(h) to find (s-f)(h). The simplify the function. What does the function (s-f)(h) represent in this situation?

Answer 1

Explanation:

The function for Fran's company can be represented as:

f(h) = 25 + 135h

The function for Shirley's company can be represented as:

s(h) = 65 + 150h

To find the difference between the charges, we can subtract f(h) from s(h):

(s-f)(h) = s(h) - f(h)

(s-f)(h) = (65 + 150h) - (25 + 135h)

(s-f)(h) = 40 + 15h

Therefore, (s-f)(h) = 40 + 15h represents the difference in charges between Shirley's company and Fran's company for planting h hedges. Specifically, this function represents the additional amount that Shirley's company charges compared to Fran's company for planting h hedges.