What is the exponential function that best models the number of gnats the scientists have

Mathematics

1 answer:

IrinaVladis [17]2 years ago

6 0

Answer:

(b) f(x) = 12.5(1.6^x)

Step-by-step explanation:

An exponential model is generally of the form ...

f(x) = a·b^x

where 'a' is the initial value (for x=0), and 'b' is the growth factor, the multiplier when x increases by 1.

<h3>Growth factor</h3>

The ratio of the f(x) values for x=0 and x=1 is 20/12 ≈ 1.67. A number close to this will be the growth factor in the exponential function. There is only one answer choice showing a growth factor near 1.6. (Eliminates choices A, C, D.)

An exponential regression model can be produced by many graphing calculators and spreadsheets. The attachment shows a model that has the values matching choice B.

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$\\ \sf\longmapsto L-M$

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