The time required for a skilled worker to produce x shirts is given by the function T(x) = 4x + 2, where T is measured in hours.

Question

The time required for a skilled worker to produce x shirts is given by the function T(x) = 4x + 2, where T is measured in hours. The salary the she is paid is given by the function S(T) = 15T, where S is measured in dollars.

A. If the worker produces 18 units, what will she be paid?

B. How many units would the worker need to produce to be paid $3,030?

Answer 1

T(18) = 4 * 18 + 2

S(T(18)) = 15 * T(18)

 

Or you could write the composite function first, which would help in solving part B.

 

For part B, you just work in reverse, or alternatively, write the inverse function first.