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.

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

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted