Question

Can someone please help me?? Algebra!

Answer 1

1.Sabrina is using an online calculator to calculate the outputs f(n) for different inputs n. The ordered pairs below show Sabrina's inputs and the corresponding outputs displayed by the calculator.

(1, 6), (2, 11), (3, 16), (4, 21)

Which of the following functions best represents the rule that the calculator uses to display the outputs?

a. f(n) = 5n - 1

b. f(n) = 5n + 1

c. f(n) = 4n + 3

d. f(n) = 4n - 3

2.Which exponential function goes through the points (1, 8) and (4, 512)?

f(x) = 4(2)x

f(x) = 8(2)-x

f(x) = 4(4)-x

f(x) = 2(4)x

Answer 2

3.Wendy enjoys listening to hip hop and downloads music regularly from the internet. She already has four hours of hip hop in her collection. From the second month onward, the number of hours of hip hop music she downloads each month is nine percent greater than the number of hours of hip hop music she had downloaded the previous month. Which function best shows the total number of hours of hip hop music Wendy has in her collection f(x) after x months?

a.f(x) = (1.09)x + 3

b. f(x) = 3(1.09)x

c. f(x) = (1.09)x + 2

d. f(x) = (1.09)x - 2