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Natali5045456 [20]
3 years ago
13

This table shows some values of an exponential function. x у 01.25 1 2.50 25 3 10 What is the function?​

Mathematics
1 answer:
Helen [10]3 years ago
7 0

Answer:

y= 1.25(2)^{x}

Step-by-step explanation:

y= 1.25(2)^{x}

For x=0

y= 1.25(2)^{0} = 1.25

For x=1

y= 1.25(2)^{1} = 1.25(2)=2.5

For x=2

y= 1.25(2)^{2} = 1.25(4)=5

For x=3

y= 1.25(2)^{3} = 1.25(8)=10

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artcher [175]
The number is 6.25.

We will set up an equation for this.  Let x be the unknown number.  Subtracting 1.05 from it gives us

(x-1.05)

Multiplying the difference by 0.8 would give us

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Adding 2.84 to the product would give us

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We will start working backward, cancelling the division by 0.01 first by multiplying:

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0.8(x-1.05)+2.84-2.84 = 7-2.84
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Use the distributive property on the left side:
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0.8x = 5

Divide both sides by 0.8:
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