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? a. y = -2x + 8 b. y = -2x – 8 c. y = 2x + 8 d. y = 2x – 8

If we read this problem carefully, it becomes obvious that there's an initial temperature (vertical intercept) of -8 degrees F, and that there's also an hourly increase in the temperature. Thus, the slope-intercept model is called for:

y = mx + b. m is the slope and in this problem is +2 degrees F per hour, and b is the y-intercept, -8 degrees F. The variable x represents the number of hours that have passed since the first (-8 degree) measurement was taken:

T(x) = -8 degrees F + (+2 degrees F per hour)(x), where x is measured in hours.

The best fit to this is the fourth answer choice, y = 2x-8.

answer is 144

step-by-step explanation: