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: A. $1,110 B. 50 units.Step-by-step explanation: A. Substitute [tex]x=18[/tex] into the function [tex]T(x)=4x+2[/tex] for calculate the time in hours required for the worker to produce 18 units: [tex]T(18)=4(18)+2=74[/tex] Now you need to substitute [tex]T=74[/tex] into the function [tex]S(T)=15T[/tex] to calculate the amount in dollars she will be paid for 74 hours: [tex]S(74)=15(74)=1,110[/tex] She will be paid $1,110. B. To calculate the number of units that the worker needs to produce to be paid $3,030 , you need to substitute [tex]S(T)=3,030[/tex] into the function [tex]S(T)=15T[/tex] and solve for T (to find the number of hours she requires to work to be paid $3,030) [tex]3,030=15T\\\\T=\frac{3,030}{15}\\\\T=202[/tex] Now, substitute [tex]T(x)=202[/tex] into [tex]T(x)=4x+2[/tex] and solve for x, to calculate the number of units she produces in 202 hours: [tex]202=4x+2\\\\202-2=4x\\\\x=\frac{200}{4}\\\\x=50[/tex] She would need to produce 50 units to be paid $3,030