the temperature in houston is 16°f and increasing at a rate of 13.8° per hour. the temperature in miami is…

the temperature in houston is 16°f and increasing at a rate of 13.8° per hour. the temperature in miami is 60°f and decreasing at a rate of 8.3° per hour. which equation could be used to determine h, the number of hours until the temperatures in the two cities will be the same? 8.3h + 60 = 13.8h - 16 60 + 8.3h = 16 - 13.8h 60 - 8.3h = 16 + 13.8h 60h - 8.3 = 16h + 13.8

the temperature in houston is 16°f and increasing at a rate of 13.8° per hour. the temperature in miami is 60°f and decreasing at a rate of 8.3° per hour. which equation could be used to determine h, the number of hours until the temperatures in the two cities will be the same? 8.3h + 60 = 13.8h - 16 60 + 8.3h = 16 - 13.8h 60 - 8.3h = 16 + 13.8h 60h - 8.3 = 16h + 13.8

Answer

Explanation:

Step1: Analyze Houston's temperature

Houston's initial temperature is (16^{\circ}F) and it's increasing at a rate of (13.8^{\circ}) per hour. So after (h) hours, its temperature is (16 + 13.8h).

Step2: Analyze Miami's temperature

Miami's initial temperature is (60^{\circ}F) and it's decreasing at a rate of (8.3^{\circ}) per hour. So after (h) hours, its temperature is (60-8.3h).

Step3: Set the two temperatures equal

When the temperatures are the same, we have the equation (60 - 8.3h=16 + 13.8h).

Answer:

(60 - 8.3h = 16 + 13.8h) (the third option in the given multiple - choice list)