Applications of Slope and Intercept

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).