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djverab [1.8K]
3 years ago
5

find the exponential model of best fit for the points (-3,5),(1,12),(5,72),(7,137). Explian how you got your answer. Round value

s to the nearest hundredth.

Mathematics
1 answer:
Alexandra [31]3 years ago
7 0
<h3>Answer:</h3>

f(x) = 11.93·1.42^x

<h3>Step-by-step explanation:</h3>

I entered the data into a graphing calculator and made use of its exponential regression function to find the coefficients of ...

... y = a·b^x

It told me ...

... a ≈ 11.9304, b ≈ 1.41885

In accordance with the problem statement, these values are rounded to hundredths to get the answer.

_____

<em>Comment on the graph</em>

The given points and two curves are show. The solid red curve is the exponential regression curve produced by the calculator. The dotted blue curve is the one you get when you round the numbers to the nearest hundredth.

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