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sineoko [7]
3 years ago
12

Consider the exponential function f ( x ) = 13 , 500 ⋅ 0.89^x, which models the value of Mikayla's scooter, where x represents t

he number of years since she purchased the scooter.
What is the value of Mikayla's scooter after 4 years? Explain.
Mathematics
1 answer:
Elden [556K]3 years ago
7 0

Answer: $8470

Step-by-step explanation:

To solve this, you can substitute 4 for x:

f(x) = 13500*.89^4\\f(x) = 13500*0.6274\\f(x) = 8470

Mikayla's scooter is worth around $8470 after 4 years.

It was originally worth 13,500 dollars and depreciated by 11% every year.

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Now that we know how the shifts occur, we might consider a different form of the equation for a linear function:  y = a(x - h) + k  here the 'a' is just our slope, 'k' is our original y intercept, and 'h' will represent the amount of horizontal shift.  

So to get the desired transformations of a horizontal shift to the left of 8 and a vertical shift of down 3 from our original function y = x, we can make the following changes:   y = (x + 8) - 3  Now you might be confused with how we got the 'x + 8'..   Let's consider values of 'h'.  For positive values of h, the result will be a shift to the right and for negative values of h the result will be a shift to the left.  So since we want a shift to the left we need to use a '-8' and when we substitute that into our new form, y = (x - h) + k you can see the sign change.  

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Answer:

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Step-by-step explanation:

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