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In this lesson, we will learn how to compare the rates of change of functions represented by graphs and tables.

Q1:

Which of the following functions increases at a higher rate?

Q2:

Determine which of the given functions has a greater rate of change.

(a)

(b) 𝑦 = 3 𝑥 + 5

Q3:

(a) 𝑦 = 5 𝑥 + 8

(b) a function where the input is multiplied by 2

Q4:

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 𝑦 with respect to 𝑥 .

Q5:

Yara says that the ratios of protein to carbohydrate in the two samples are equivalent. Is she correct?

Q6:

Which of the following functions has a greater rate of change?

(b) 𝑦 = 2 𝑥 − 9

Q7:

A customer is looking for the best deal on a recurring order. Which deal should he take?

Q8:

A car manufacturer claims that the fuel consumption of one of their cars is 42 mi/gal (miles per gallon). Samar 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?

Q9:

On average, 900 grams of chicken has about 990 calories, while 200 grams of beef has about 386 calories. Which has more calories per gram?

Q10:

Engy wants to burn an extra 2 0 0 0 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?

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