Question

Suppose that during one period of extreme cold, the average daily temperature decreased 11 F each day.

How many days did it take for the temperature to decrease by 9 OF? (Examples 1 and 3)
STEP 1
Write an equation. Let x represent
X=
STEP 2 Solve the equation. Show your work.
It took
days for the
temperature to decrease by 9 °F.

Answer 1

The temperature decreased by 9 °F in 0.82 days.

Explanation:

Let the number of days it takes for the temperature to decrease by 9 °F be
`x`.

Given:

Average daily temperature decreases by
`11` °F.

Decrease of temperature in 1 day =
`11` °F.

∴ Decrease in temperature in x days is
`11x`.

Now, as per question, decrease in temperature in 'x' days is 9 °F.

Therefore,
`11x=9`

`x=(9)/(11)`

`x=0.82`

Therefore, the temperature decreased by 9 °F in 0.82 days.