Question

Last night, the temperature fell from 0°F to –131 5 in 42 5 hours. What was the average temperature change per hour? Solve the division problem.

-13 1/5 Divide 4 2/5

The temperature drop per hour can be represented by ___________ °F.

Answer 1

The temperature drop per hour can be represented as
`3^(\circ)~F` or the temperature change per hour can be represented as
`-3^(\circ)~F`

Explanation:

We are given the following information in the question:

Change in temperature:

`\text{From }0 ~F \text{ to } -13\displaystyle(1)/(5)~F`

This fall in temperature too place in
`4\displaystyle(2)/(5) \text{ hours}`

Temperature drop per hour =

`\displaystyle\frac{y_2-y_1}{\text{Time taken}}\\\\=(-13(1)/(5)-0)/(4(2)/(5)) = (-13(1)/(5))/(4(2)/(5))\\\\= ((-66)/(5))/((22)/(5)) = (-66)/(5)* (5)/(22)\\\\=(-66)/(22) = -3^(\circ)~F`

The temperature change per hour can be represented as
`-3^(\circ)~F`

Answer 2

-3 degrees F

Explanation:

We are given that the previous night the temperature fell from 0 degree Fahrenheit to

`-13 (1)/(5)`

Hence change in termperature is

`-13 (1)/(5) =(-66)/(5)`

Time taken for this change is given as

`4 (2)/(5)=(22)/(5)`}

Average rate of change per hour = temperature change /no of hours

The temperature drop per hour can be represented by

=-13 1/5 Divide 4 2/5

=
`(-66)/(5)` divided by
`(22)/(5)`

=-3 degree Fahrenheit