Question

Biff observes that in every math test he has taken this year, he has scored 2 points higher than the previous test. His score on the first test was 56

Exponential models
ANSWERED
asked 2021-05-07
Biff observes that in every math test he has taken this year, he has scored 2 points higher than the previous test. His score on the first test was 56. He models his test scores with the exponential function \(\displaystyle{s}{\left({n}\right)}={28}⋅{2}^{{n}}\) where s(n) is the score on his nth test. Is this a reasonable model? Explain.

Answers (1)

2021-05-08

Ene score of the first test Is 56. Each test score is 2 points higher than the previous test score. So the score of the second test is 56+ 2 = 58.
The score of the third test is 58+ 2= 60.
And so on.
The scores form an arithmetic sequence 56, 58, 60, ......... with common difference 2.
But the values of the given exponential function \(s(n)=28*2^n\), describe a geometric sequence with common ratio 2.
So the exponential function cannot be used to model this problem.

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