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17 October, 13:10

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.

+5
Answers (2)
  1. 17 October, 13:36
    0
    Answer : A (t) = 80⋅1.05*t

    Based on khan academy
  2. 17 October, 13:40
    0
    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
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