Comparing Functions Using Slope

Which company has a greater rate of change?

• Company K

• Company Z

• Neither-they both have the same rate of change

The equation c = 0.20t + 3.50 shows the relationship between the charge c in dollars for renting a kayak for t minutes.  What is the meaning of the slope of the equation?

• For $1.00, you can rent a kayak for 20 minutes.

• It costs $0.20 per minute to rent the kayak.

• You have to pay $0.20 up front before using the kayak at all.

• Every .2 minutes, you have to pay $1.00.

Which has the greatest rate of change?

• Equation

• Table

• Graph

On plan X, how many minutes of usage does $10 buy?

• 30

• 5

• 60

• 20

Who has the greater rate of change?

• Troy has the greater rate of change.

• Lucy has the greater rate of change 

• They have the same rate of change

Which function is linear?

• f(x)

• h(x)

• g(x)

Which statement is true based on the data in the table?

• f(x) is an exponential function

• g(x) is a linear function

• The y-intercept of g(x) is 10

• The slope of f(x) is 3

Which statement is true about the rate of change of the two functions?

• Both functions have negative rates of change.

• Both functions have positive rates of change.

• Function 1 has a negative rate of change, while that of Function 2 is positive.

• Function 1 has a positive rate of change, while that of Function 2 is negative.

For a few months, Dexter recorded the amounts, in fluids ounces, of laundry detergent remaining, y, after he and his family washed x loads of laundry. The equation of the best fit for his data is shown below. Which statement correctly describes the slope of Dexter’s equation of the line of best in the context of the situation?

• The bottle Dexter's family buys hold about 50 fluid ounces of detergent.

• For each load of laundry. Dexter's family uses about 1.6 fluid ounces of detergent.

• With 50 fluid ounces of detergent, Dexter's family can wash about 1.6 loads of laundry.

• With 1.6 bottles of laundry detergent. Dexter's family can wash about 50 loads of laundry.

Use the two functions to answer the question. Which statement about the slopes of the functions is true?

• The slopes of both functions are negative.

• The slopes of both functions are positive.

• The slope of function A is negative and the slope of function B is positive.

• The slope of function A is positive and the slope of function B is negative.