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3 years ago

9

The point $(p,9)$ lies on line $k$ shown here. What is the value of $p$?

1 answer:

blagie [28]3 years ago

3 0

Answer:

(10,9) P=10

Step-by-step explanation:

find the slope first: y2-y1/x2-x1=(3-1)/1-(-2)=2/3

y=2/3x+b

find b:

3=2/3(1)+b

b=3-2/3

b=7/3

now we find P

(p,9) input the y in the equation

y=2/3 x+7/3

9=2/3x+7/3

9-7/3=2/3x

x=10

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c. After approximately 4.98 years the stereo will be worth half the original value.

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Let x be the number of years.

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Therefore, the exponential model $y=830*(0.87)^x$ represents the value of the stereo system in terms of the number of years since the purchase.

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Upon dividing both sides of our equation by 830 we will get,

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Let us take natural log of both sides of our equation.

$ln(0.5)=ln(0.87^x)$

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$ln(0.5)=x*ln(0.87)$

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