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.