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An exponential relationship has a growth factor of3and y-intercept of 4.Evalute the function that represents the function that represents this relationship where x=10

User Urobo
by
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1 Answer

3 votes

Answer:


f(10)= 236196

Explanation:

Given


(x,y) = (0,4) --- y intercept


b = 3 --- growth factor

Required


f(10)

An exponential function is represented as:


y = ab^x


(x,y) = (0,4) means


4=a * b^0


4=a *1


a= 4

So, we have:


y = ab^x


y = 4(3)^x

or


f(x)= 4(3)^x

When x is 10, the value of the function is:


f(x)= 4(3)^x


f(10)= 4(3)^{10


f(10)= 236196

User Ziarno
by
7.6k points

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