Worksheet: Comparing Rates of Change
In this worksheet, we will practice comparing the rates of change of functions represented by graphs and tables.
Consider the following graphs of linear functions, all of which have the same scales on the two axes.
List the graphs in order of increasing rate of change of with respect to .
- A (c), (b), (a), (d)
- B(b), (c), (d), (a)
- C (b), (c), (a), (d)
- D (a), (d), (c), (b)
- EThis cannot be determined without more information.
Which of the following functions has a greater rate of change?
- CThey have the same rate of change.
A car manufacturer claims that the fuel consumption of one of their cars is 42 mpg (miles per gallon). Chloe measured the distance she covered with different volumes of fuel. She plotted her results and drew a line of best fit.
Did her car consume more or less fuel than the manufacturer had claimed?
- Athe same
On average, 900 grams of chicken has about 990 calories, while 200 grams of beef has about 386 calories. Which meat provides more energy per gram?
Jennifer wants to burn an extra calories a week. She can choose between the following exercise classes.
Which class burns the most calories per hour?
How long would she have to spend in that class to reach her weekly goal?
- A hours
- B hours
- C 5 hours
- D hours
- E 4 hours