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Mathematics 8 Online
OpenStudy (anonymous):

PLEASE HELP ITS MY LAST QUESTION :(

OpenStudy (anonymous):

Johnny has been planting blueberries in a garden in his backyard. Johnny started with blueberries in one square foot of garden modeled by the function s(x) = 10. He is allowed to convert more of the garden, and each additional square foot he maintains allows his blueberry plants to produce more by a rate of a(x) = 1.4x-2. Explain to Johnny how to create an equation to predict the number of blueberries he can expect based on the number of square feet he maintains. Describe how to determine the number of blueberries he will grow with 5 square feet. Use complete sentences.

OpenStudy (anonymous):

a(x)= 1.4^(x-2)* my bad

OpenStudy (anonymous):

@ganeshie8

OpenStudy (anonymous):

I don't understand how to explain it at all

ganeshie8 (ganeshie8):

Johnny can combine both the given functions to create a new function that can be used to predict the number of blueberries he can expect based on the number of square feet he maintains. : \[\large b(x) = s(x)*a(x) = 10\left(1.4\right)^{x-2}\]

ganeshie8 (ganeshie8):

Plugin \(x=5\) in above function to get the number of blueberries he will grow with 5 square feet

ganeshie8 (ganeshie8):

\[\large b(x) = 10\left(1.4\right)^{x-2}\] plugin x = 5 : \[\large b(5) = 10\left(1.4\right)^{5-2}\] simplify

OpenStudy (anonymous):

10(1.4)^3 27.44?

OpenStudy (anonymous):

is it 27.44 @ganeshie8

ganeshie8 (ganeshie8):

Yes ! round it to 27 so he can expect 27 blueberries with 5 square feet of land

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