Question

A manufacturing plant earned $80 per man hour of labor when it opened. Each year, the plant earns an additional 5% per man hour. Write a function that gives the amount A(t) that the plant earns per man hour (t) years after it open.

Answer 1

Answer: 80.1.05^t

Step-by-step explanation: got it

Answer 2

The amount that plant earns per man hour after (t) years it open is $80
`(1.05)^(\textrm t)` .

Explanation:

Given as :

The earning of manufacturing plant when it opened = $ 80 per man hour

The rate of plant earning per man hour = 5 %

Let The earning of plant after t years = A( t )

So,

The earning of plant after t years = initial earning ×
`(1+ (\textrm rate)/(100))^(\textrm Time)`

Or, A(t) = $ 80 ×
`(1+ (\textrm 5)/(100))^(\textrm t)`

or, A(t) = $ 80 ×
`(1.05)^(\textrm t)`

Hence The amount that plant earns per man hour after (t) years it open is $80
`(1.05)^(\textrm t)` . Answer