Question

On a very cold morning, it was -7°F. As the day went on, the temperature rose 3 degrees each hour. Which equation shows the temperature over time?

Answer 1

The answer is y=3x-7, because the initial temperature is -7, and it goes up 3 degrees every hour.

Answer 2

`y=3x-7`

Explanation:

Let x be the number of hours after morning.

We have been given that on a very cold morning, it was -7°F. As the day went on, the temperature rose 3 degrees each hour.

Since the slope-intercept form of an equation is:
`y=mx+b`, where m represents slope and b represents y-intercept.

As the temperature is increasing 3 degrees with each passing hour, so slope of our line will be 3 as slope represents rate of change.

The initial temperature was -7°F, so -7 will be our y-intercept.

Upon substituting m=3 and b=-7 in slope intercept form of equation we will get,

`y=3x-7`

Therefore, the equation
`y=3x-7` shows the temperature over time.