A candle is burning. It starts out 12 inches long. After 1 hour, it is 10 inches long. After 3 hours, it is 5.5 inches long.
1. When do you think the candle will burn out completely?
2. Is the height of the candle a function of time? If yes, is it a linear function? Explain your thinking,

Answer 1: Hour 5 Answer 2: no

Step-by-step explanation:

Answer 1: We dont know for sure but it could be hour 5. After 1 hour its 10 inches and after 3 hours its 5.5. This means its dropping more and more every hour.

Answer 2: Its not a linear function since it is not dropping at a constant rate.

why can't you?

step-by-step explanation:

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x