1. Introduction to Graphing
Chapter 3
Introduction to Graphing

2. Rates
3.4
Rates of Change
Visualizing Rates

3. Rate
A rate is a ratio that indicates how two quantities change with respect to each other.

4. On March 4, Nichole rented a mini-van with a full tank of gas and 10,324 mi on the odometer. On March 9, she returned the mini-van with 10,609 mi on the odometer. If the rental agency charged Nichole $126 for the rental and needed 15 gal of gas to fill up the gas tank, find the following rates:
a) The car’s average rate of gas consumption, in miles per gallon.
b) The average cost of the rental, in dollars per day.
c) The car’s rate of travel, in miles per day.

5. (cont)
On March 4, Nichole rented a mini-van with a full tank of gas and 10,324 mi on the odometer. On March 9, she returned the mini-van with 10,609 mi on the odometer. If the rental agency charged Nichole $126 for the rental and needed 15 gal of gas to fill up the gas tank, find the following rates:
Solution
a) The car’s average rate of gas consumption, in miles per gallon.
Rate, in miles per gallon

6. (cont) Solution b) The average cost of the rental, in dollars per day.
On March 4, Nichole rented a mini-van with a full tank of gas and 10,324 mi on the odometer. On March 9, she returned the mini-van with 10,609 mi on the odometer. If the rental agency charged Nichole $126 for the rental and needed 15 gal of gas to fill up the gas tank, find the following rates:
Solution
b) The average cost of the rental, in dollars per day.
Rate, in dollars per day

7. (cont) Solution c) The car’s rate of travel, in miles per day.
On March 4, Nichole rented a mini-van with a full tank of gas and 10,324 mi on the odometer. On March 9, she returned the mini-van with 10,609 mi on the odometer. If the rental agency charged Nichole $126 for the rental and needed 15 gal of gas to fill up the gas tank, find the following rates:
Solution
c) The car’s rate of travel, in miles per day.
Rate, in miles per day

8. a) What rate can be determined from the graph?
Wanda’s Hair Salon has a graph displaying data from a recent day of work.
a) What rate can be determined from the graph?
b) What is that rate?
Solution
a) We can find the rate Number of haircuts per hour. b) 1 2 3 4 5