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3 years ago

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A car wash detailed 288 cars in 9 hours. At what rate did the car wash detail cars in cars per hour? A. 31 cars per hour B. 33 c

ars per hour C. 30 cars per hour D. 32 cars per hour

1 answer:

natta225 [31]3 years ago

4 0

Divide the number of cars by the number of hours:

288 / 9 = 32 cars per hour.

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From the calculation, the growth rate is 0.88.

<h3>What is the growth rate?</h3>

To find the relative growth rate

P1 = Poe^rt

P2 = Poe^rt

Thus;

1920 = Poe^4r ------ (1)

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P2/P1 gives;

1966080/1920 = Poe^12r/Poe^4r

1024 = e^12r/e^4r

1024 =e^8r

1024 = (e^r)^8

2^10 = (e^r)^8

e^r = 2^1.25

e^r = 2.38

r = ln(2.38)

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The initial size of the culture is;

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Po = 1920/e^(0.88 * 4)

Po = 57

The expression for the exact number of bacteria after t hours is

P(t) = 57e^0.08t

The growth (in bacteria per hour) after 9.5 hours is

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P(t) = 243544

For the number to reach 72,000;

72,000 = 57e^0.88t

72,000/57 = e^0.88t

ln 126 = ln[e^0.88t]

4.8 = 0.88t

t = 4.8/0.88

t = 5.5 hours

Learn more about exponential growth;brainly.com/question/13674608

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