The equation y=58-x represents the temperature, y, in degrees fahrenheit and the time, x, in hours from 6 p. m. to 9

a. m. on a certain day. let x = 0 represent the temperature at 6 p. m. what is the average rate of change in temperature from 6 p. m. to 9

a. m.?

From the equation, y=58-x, where y is temperature and x is time in hours.

Time from 6 p. m to 9 a. m = 15 hours

Therefore, the value of y = 58 - 15 = 43 fahrenheits

The average rate of change in temperature = temperature divided by time

= 43 / 15 = 2.86 Fahrenheit/hour

Therefore, the rate of change in temperature will be given by 2.86 Fahrenheit / hour.