Question

The temperature inside a house is 83˚F. When the air conditioner is turned on, the temperature drops 3˚F every hour. Write a linear function that describes the temperature of the air inside the house over time. Is this a proportional relationship? Justify the answer.

Answer 1

The variables are T = temperature and r = rate in hours. This is a linear relationship due to a constant slope of 3 F per hour.

Answer 2

T = -3r + 83

Answer 3

@Mathexpert So is "t = -3r + 83" the answer? And correct?

Answer 4

@Mathexpert And is this a propotional relationship?

Answer 5

Yes it is. For every r, where r is measured in hours, the temperature goes down by 3 degrees. Thus the slope is -3, and the starting temperature is 83 degrees.

Answer 6

No it is not, because it has a y-intercept of 83. Proportional means y = mx, linear could mean y = mx + b

Answer 7

Thank you so much! (:

Answer 8

No problem