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?

Respuesta :

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 "[tex] x [/tex]" hours to reach the required temperature. Then the equation that will guide this system will be a linear one as shown below:

[tex] -16+9.6x=20 [/tex]

Adding 16 to both sides we get:

[tex] 9.6x=20+16=36 [/tex]

Dividing both sides by 9.6 we get:

[tex] x=\frac{36}{9.6}=3.75 [/tex] hours

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

Answer:

3.75

Step-by-step explanation:

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

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