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Oksana_A [137]
3 years ago
14

The graph of an exponential function passes through the point (0,15) and (1,10). What is the equation of the exponential functio

n that models the curve that passes through these two points? Explain your answer using complete sentences.

Mathematics
1 answer:
Vilka [71]3 years ago
7 0

Answer:

y=15(\frac{2}{3})^x

Step-by-step explanation:

we know that

The equation of a exponential function is of the form

y=a(b^x)

where

a is the initial value or y-intercept

b is the base of the exponential function

In this problem we have

a=15 ----> the y-intercept is given

substitute

y=15(b^x)

we have the other ordered pair (1,10)

substitute the value of x and the value of y and solve for b

10=15(b^1)\\10=15b

b=\frac{10}{15}=\frac{2}{3}

substitute

y=15(\frac{2}{3})^x

see the attached figure to better understand the problem

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