Question

During a period of extreme cold, the average daily temperature dropped decreased by 112°F each day. How many days did it take for the temperature to decrease by 9°F? Which equation would you use to find the solution? I need help

Answer 1

6 days

Explanation:

Given

`Rate = -1(1)/(2)^\circ F` -- Negative because it decreases

`Final\ Temperature = -9^\circ F` -- Negative because it still decreases

Required

Determine the number of days

Let the number of days be d.

So:

`Rate * d = Final`

`-1(1)/(2) * d = -9`

`1(1)/(2) * d = 9`

Convert to improper fraction

`(3)/(2) * d = 9`

Make d the subject

`d = (9 * 2)/(3)`

`d = 3 * 2\\\\d = 6`