Question

Tanisha is graphing the function f(x) = 25(3/5)^x. She begins by plotting the point (1, 15). Which could be the next point she plots on the graph?

(2, 9)

(2, –10)

(2, 14 2/5)

(2, 5)

Answer 1

(2,9)

Explanation:

Took the test

Answer 2

The answer is (2,9).

This is because we can increment X by 1, giving us X=2. We can then do:
f(2)=25•(3/5)^2
Which equals:
f(2)=25•(3^2/5^2) because (a/b)^c = a^c/b^c.

We can then calculate the fraction in a simplified form:
f(2)=25•(9/25)=225/25
which fully simplified gives us
f(2)=9/1=9