Applications of Slope and Intercept

This lecture series explores the meaning of slope and intercepts in the context of real-life situations. Watch the videos and complete the interactive exercises.

Graphing linear relationships word problems - Questions

1. Suraj took a slice of pizza from the freezer and put it in the oven. The oven heated the pizza at a rate of 7.5^{\circ} degrees Celsius per minute, and it reached the desired temperature of 80^{\circ} degrees Celsius after 12 minutes.

Graph the relationship between the pizza's temperature (in degrees Celsius) and time (in minutes).


2. A pool has some initial amount of water in it. Then it starts being filled so the water level rises at a rate of 6 centimeters per minute. After 20 minutes, the water level is 220 centimeters.

Graph the relationship between the pool's water level (in centimeters) and time (in minutes).


3. Sean tried to drink a slushy as fast as he could. He drank 5 milliliters of slushy each second and finished all the slushy after 50 seconds.

Graph the relationship between the amount of slushy left in the cup (in milliliters) and time (in seconds).


4. Rip van Winkle fell asleep for a very long time. When he fell asleep, his beard was 8 millimeters long, and each passing week it grew 2 additional millimeters.

Graph the relationship between the length of Rip van Winkle's beard (in millimeters) and time (in weeks).