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?

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 units

Time required T(x) = 4x+2

                               = 4(18)+2

                               = 72 +2

                               = 74 hrs

Amount paid S(T) = 15 T

                             = 15 ( 74) = $ 1110

b) Since S is given, S= $3,030

     S(T)= 15 (T)

     3030 /15= T

     202 hrs= T

Now, we can find x:

  T(x) = 4(x) +2

  202 = 4x + 2

  202-2 = 4x

  200 / 4 =x

  50 = x

so, worker produces 50 units.