A.3B Rate of Change

Front

The table represents some points on the graph of a linear function. What is the rate of change of y with respect to x for this function?

Back

Front

Racer’s average driving speed for a 4-hour trip was 45 miles per hour. During the first three hours he drove 40 miles per hour. What was his average speed for the last hour of his trip?

Back

60 miles per hour

Front

Look at the table. Which of the following best represents the situation in the table?

• If you rent a scooter for 8 hours you will pay $52.00.
• If two people each rented a scooter for 3.5 hours per day for 4 days, they would pay $164.00.
• If two people each rented a scooter for 1 hour each day for 2 days, they would pay $21.00.
• Not here.

Back

If two people each rented a scooter for 3.5 hours per day for 4 days, they would pay $164.00.

Front

Back

Front

The graph shows the height of a tree every year. Which of the following is true about the rate of change of the tree's growth? Options: The tree grew about 1 foot per year, The tree grew about 2 feet per year, The tree grew about 4 feet per year, The tree grew about 20 feet per year.

Back

The tree grew about 4 feet per year.

Front

The table shows the price of a cup of yogurt with up to 5 toppings. What is the rate of change in price with respect to the number of toppings?

Back

$0.89 per topping

Front

Rate of change of y with respect to x if 2x - 3y = 6?

Back

Front

Manuel rides his bike past one block every 50 seconds. Each block is 300 feet long. What is the rate, in feet per second, at which Manuel rides his bike?

Back

6 feet per second

Front

The rate of change of two functions are being compared. One function, f(x) is represented by the equation f(x) = -5x – 1, while the other function, g(x) is represented in the table. Which is true? The rate of change for f(x) is less than the rate of change for g(x)., The rate of change for g(x) is less than the rate of change for f(x)., The rate of change for f(x) and g(x) are equal., The rates of change cannot be compared because f(x) is a linear function and g(x) is an exponential function.

Back

The rate of change for f(x) is less than the rate of change for g(x).

Front

The graph of a linear function is shown in the coordinate plane. What is the rate of change in y per unit change in x for this linear function?

Back

-2.5