Question

 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?

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Answer 1

A) The worker is paid S= $ 1110 for producing 18 units.

B) The worker is paid $3,330 for producing x= 50 units.

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.