Question

A bottle of maple syrup in Wayne’s freezer needs to be warmed for breakfast. Sitting on the kitchen counter, the bottle temperature will go up a steady 9.6° C every hour. If the bottle temperature begins at the freezer temperature of –16° C, how many hours will it take to reach 20° C?

Answer 1

3.75

Explanation:

I know its right I just took the test!!!

Answer 2

It is given that the bottle temperature begins at the freezer temperature of –16° C. Thus, the initial temperature is –16° C.

Now, sitting on the kitchen counter, the bottle temperature will go up a steady 9.6° C every hour. We need to know how many hours will it take to reach 20° C.

Let us assume that it will take "
`x`" hours to reach the required temperature. Then the equation that will guide this system will be a linear one as shown below:

`-16+9.6x=20`

Adding 16 to both sides we get:

`9.6x=20+16=36`

Dividing both sides by 9.6 we get:

`x=(36)/(9.6)=3.75` hours

Thus it will take 3.75 hours (or 3 hours 45 minutes) for the bottle of maple syrup to reach a temperature of
`20^(\circ)` celsius.