At 6:00 A. M., the temperature was 67 F. As a cold front passed, the temperature began to drop at a steady rate of 4 F per hour. Estimate, to the nearest 15 minutes, how long it would take to reach freezing (32 F) if the drop in temperature continued at the same rate.

initial temperature =67F

rate of decrease = 4F per hour

67-4k= 15

or 4k=52

k=52/4=13

it takes 13 hours

Step-by-step explanation:

Step-by-step explanation:

Temperature = 67F

Decrease per hour = 4F

Decrease per 15 minutes(60/15 = 4) = 4F/4 = 1F

Number of hours of decrease = x

67 - 4x = 32

67 - 32 = 4x

35 = 4x

x = 35/4 = 8 3/4 hours = 8hours 45minutes