2. The number of people in a town n years after the initial
count can be modeled by
the equation p(n)=25,000(0.8)n
where P is the population
and n is the number of years.

b. Is this town growing or
shrinking in population?
By what percentage?

a. What was the population
at the initial count?

c. Write an expression to
predict what the population
will be in 5 years

Step-by-step explanation:

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).