To make a green paint, Michelle mixes 4 cans of blue paint with 6 cans of yellow paint. She has
24 cans of yellow paint. How many cans of blue
paint does she need in order to get the same
shade of green?

16 cans

Step-by-step explanation: Think of it being in batches, you can make 4 batches of green paint with 24 cans of yellow paint, so you would need 16 cans of blue paint to get the same shade of green if you mix the 24 cans and 16 can's together at once

A) domain = [0, 5]

B) It represent the initial height of the plant, which was 10 cm.

C) It represent the average height increment of the plant between those days, which was 0.21 cm/day

Step-by-step explanation:

f(n) = 10*(1.02)^n

Part A

If the height is  11.04 cm, then:

11.04 = 10*(1.02)^n

1.104 = (1.02)^n

log(1.104) = n*log(1.02)

n = log(1.104)/log(1.02)

n = 5

The domain are all the possible n values; starting at day zero, the domain is [0, 5]

Part B

Replacing with n = 0 in the function we get:

f(0) = 10*(1.02)^0 = 10

It represent the initial height of the plant, which was 10 cm.

Part C

The average rate of change is the change of the function values divided by the change in the input values, that is:

average rate of change = ( f(5) - f(1) )/(5 - 1)

f(5) = 11.04

f(1) = 10*(1.02)^1 = 10.2

average rate of change = ( 11.04 - 10.2 )/4 = 0.21

It represent the average height increment of the plant between those days,  which was 0.21 cm/day