Question

After a long day at work, Tim arrived home to find the air conditioner not working and the temperature in the house was 98 degrees. After tinkering with the air conditioner unit, it started to work and the house began to cool at a rate of 3 degrees per hour. This can be modeled by the equation t=−3h+98. Use this model to predict the temperature in the house after 5 hours.

Answer 1

Using the equation t = -3h + 98, the temperature in the house after 5 hours of the air conditioner running is predicted to be 83 degrees.

Step-by-step explanation:

To predict the temperature in Tim's house after 5 hours, we can utilize the equation t = -3h + 98, where 't' is the temperature and 'h' is the number of hours the air conditioner has been running. Plugging in 5 hours into the equation, we calculate the temperature as follows:

t = -3(5) + 98

t = -15 + 98

t = 83 degrees

Therefore, after 5 hours of the air conditioner running, the temperature in the house will be predicted to be 83 degrees.