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Komok [63]
3 years ago
5

During a bean flipping experiment Fiona modeled her data using the function

Mathematics
1 answer:
Rufina [12.5K]3 years ago
7 0

Answer:

C.5

Step-by-step explanation:

Fiona:

After t trials, she would have:

f(t) = 4.127(1.468)^t

Karl:

After t trials, he would have:

k(t) = 0.897(1.992)^t

At what number of trials would Fiona and Karl have the same number of beans?

This is t for which:

f(t) = k(t)

So

4.127(1.468)^t = 0.897(1.992)^t

0.897(1.992)^t = 4.127(1.468)^t

\frac{(1.992)^t}{(1.468)^t} = \frac{4.127}{0.897}

(\frac{1.992}{1.468})^t = 4.6

(1.35695)^t = 4.6

\log{(1.35695)^t} = \log{4.6}

t\log{1.35695} = \log{4.6}

t = \frac{\log{4.6}}{\log{1.35695}}

t = 5

So the correct answer is 5 trials, option C.

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