A manufacturing plant earned

$

80

$80dollar sign, 80 per man-hour of labor when it opened. Each year, the plant earns an additional

5

%

5%5, percent per man-hour.

Write a function that gives the amount

A

(

t

)

A (t) A, left parenthesis, t, right parenthesis that the plant earns per man-hour

t

tt years after it opens.

Answer : A (t) = 80⋅1.05*t

Based on khan academy

Step-by-step explanation:

Each year, the plant earns an additional 5 percent per man-hour. This means that the increase in earnings is exponential. We would apply the formula for exponential growth which is expressed as

A = P (1 + r) ^t

Where

A represents the amount earned after t years.

t represents the number of years.

P represents the initial amount earned.

r represents rate of growth.

From the information given,

P = $800

r = 5% = 5/100 = 0.05

Therefore, the function that gives the amount after t years is

A = 800 (1 + 0.05) ^t

A = 800 (1.05) ^t