Question

12. The equation t = h + 76 represents the change in air temperature in degrees Fahrenheit every hour for the city of Miami. Determine and interpret the slope and y-intercept of the line that

represents the equation.

Answer 1

The slope of the line is the coefficient of x, which in this case is 1. So the slope is 1.

The y-intercept of the line is the value of t when h = 0. In this case, when h = 0, t = 76, so the y-intercept is 76.

The line can be written in slope-intercept form as t = 1h + 76.

Interpretation:

The slope of 1 means that for every hour that passes, the air temperature in Miami increases by 1 degree Fahrenheit.

The y-intercept of 76 means that when there is no change in time (h = 0), the air temperature in Miami is 76 degrees Fahrenheit.

Answer 2

The slope of the line is 1, which means that for every 1 hour that passes, the temperature increases by 1 degree Fahrenheit. The y-intercept of the line is 76, which represents the temperature in Fahrenheit when no hours have passed.

Step-by-step explanation:

The equation t = h + 76 represents the change in air temperature in degrees Fahrenheit every hour for the city of Miami. In this equation, t represents the temperature in Fahrenheit and h represents the number of hours.

The slope of the line is 1, which means that for every 1 hour that passes, the temperature increases by 1 degree Fahrenheit.

The y-intercept of the line is 76, which represents the temperature in Fahrenheit when no hours have passed. In other words, when h = 0, the temperature is 76 degrees Fahrenheit.