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A population y of coyotes in a national park triples every 20 years. The function y = 15(3)^x
represents the population, where x is the number of 20 year periods.
a. Find and interpret the y-intercept.
b. How many coyotes are in the national park in 40 years?

Respuesta :

ez0225

Answer:

a. y int. = initial amount of coyotes

b. 135 coyotes

Step-by-step explanation:

a. when x = 0, you get y int. = 15 coyotes. This shows that at the very beginning, you had 15 coyotes.

b. 40 years = two 20 year periods. x = 2 after 40 years

y = 15 * (3)^2

y = 135 coyotes

a. y int. = initial amount of coyotes

b. 135 coyotes

  • The calculation is as follows:

a. when x = 0, you get y int. = 15 coyotes.

This represent that at the very beginning, you had 15 coyotes.

b. 40 years = two 20 year periods. x = 2 after 40 years

[tex]y = 15 \times (3)^2[/tex]

y = 135 coyotes

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