On a very cold morning, it was -8°F. As the day went on, the temperature rose 2 degrees each hour. Which equation shows the temperature over time?

Answer 1

Take it as a linear equation if the rate of changing is constantly 2 degrees/hour.

We have y as the temperature at one point with the unit of hour and t is the time in hour, we have:

y(°F) = -8 + 2t

Answer 2

The general equation for a linear equation is y=mx+b

m is the slope or rate of change (2 in your problem because the temperature it is rising at 2 degrees each hour)

b is the y intercept, at the y intercept, time = 0, this is the starting points, which is -8 in this example.

The equation is:

y=2t-8