Question

After the last ice age began, the number of plant species in South America changed rapidly. The relationship between the elapsed time, t, in years, since the ice age began, and the total number of plant species,P (t), is modeled by the following function: P(t)=30,000,000⋅(89)t Complete the following sentence about the yearly rate of change of the number of plant species. Every year, the number of plant species grows/shrinks by a factor of __

Answer 1

Answer: Every year, the number of plant species shrinks by a factor of 8/9

Step-by-step explanation:

Answer 2

The factor for the numebr of plant species that grows/shrinks, as represented in the exponential function is: 8/9.

What is an Exponential Function?

An exponential function is represented by the equation, $f(x) = ab^x$, where:

• a = intial value
• b = growth factor or multiplier

Given the function that models the number of plant species, P(t) = 30,000,000⋅(8/9)t, the growth factor in the exponential function is, 8/9.

Therefore, number of species grows/shrinks by a factor of 8/9.

Learn more about exponential function on:

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