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yarga [219]
3 years ago
13

Given the following exponential function, identify whether the change represents

Mathematics
1 answer:
maxonik [38]3 years ago
7 0

Answer:

54.7%

Step-by-step explanation:

Given the function :

y=2700(0.453)

y represents an exponential Decay function because :

For a growth function ; the function :

y = A(1 + r) where, A is the initial amount and r = growth rate

With this function ; the value in bracket will always be greater Than 1

Hence, when the value after the initial value is less than 1 ; then we have an exponential Decay ;

Where

y = A(1 - r)

Hence, rate, r equals :

1 - r = 0.453

1 - 0.453 = r

r = 0.547

= 0.547 * 100%

= 54.7%

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Let's re-read the statement and question, and then break it down.
He charges a flat fee of $38, plus $22 per hour.
A flat fee of $38 is only a one-time pay, and will never be paid for again.
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Every hour that goes by, he earns $22 each hour.
Now that we've broken this down, we can make an equation.
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Let's do 2 hours.
2(22) + 38 = 44 + 38, = 82.
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Now let's do 8 hours, which is the main question, "How much does he make in 8 hours?".
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I hope this helps!
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