Apopulation 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?

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

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

step-by-step explanation: