Mathematics: Y= abx that goes through points (0,13) and (2,325)

She will have to pay $500 and her insurance will pay $40,500Explanation:...

Y= abx that goes through points (0,13) and (2,325)

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19.07.2021

y = 13(5)^x

Step-by-step explanation:

We are given the following exponential function:

y = ab^x

(0,13)

This means that when x = 0, y = 13 . So

y = ab^x

13 = ab^0

a = 13

Then

y = 13b^x

(2,325)

This means that when x = 2, y = 325 We use this to find b. So

y = 13b^x

13b^2 = 325

$b^2 = \frac{325}{13}$

b^2 = 25

b = 5

Thus

y = 13(5)^x

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