Q:

 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?​

Accepted Solution

A:
Answer:A) The worker is paid S= $ 1110 for producing 18 units.B) The worker is paid $3,330 for producing x= 50 units.Step-by-step explanation:a) given x = 18 unitsTime required T(x) = 4x+2                                = 4(18)+2                                = 72 +2                                = 74 hrsAmount paid S(T) = 15 T                              = 15 ( 74) = $ 1110b) Since S is given, S= $3,030      S(T)= 15 (T)      3030 /15= T      202 hrs= TNow, we can find x:   T(x) = 4(x) +2   202 = 4x + 2   202-2 = 4x   200 / 4 =x   50 = xso, worker produces 50 units.