Slope Context

Tim bought a new phone.  He paid $125 on the day of purchase, then $50 per month until it was paid off. What is the rate of change in this situation?

• 50

• 125

Bob has $150 in his savings account and saves $40 per month. What is the rate of change?

• $150

• $40 per month

• $40 per day

The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Which service is cheaper for renting 9 movies?

• Beth's service is cheaper (Beth charges $42 vs. Nate charges $45)

• Nate’s service is cheaper (Nate charges $42 vs. Beth charges $45) 

• Nate’s service is cheaper (Nate charges $36 vs. Beth charges $45)

• Beth's service is cheaper (Nate charges $45 while she charges $36) 

Which company shows a greater rate of change?

• Water's Edge Rafts

• Ryan's Rafts

Who is losing weight faster?

• Valerie

• Oscar

• Mrs. Conte

• They are losing the same amount of weight

Compare the rates of change. Which statement is true about functions A and B?

• They have the same rate of change

• A has a greater rate of change than B

• A and B both have negative rates of change

• A has a negative ROC and B has a positive ROC

• The rate of change of f(x) is less than the rate of change of g(x)
• The rate of change of f(x) is greater than the rate of change of g(x) 
• The y intercept of f(x) is equal to the rate of change of g(x) 
• The y intercept of f(x) is greater than the rate of change of g(x)

• The y-intercept of the function f(x) is less than the y-intercept of the function g(x) 
• The y-intercept of the function f(x) is greater than the y-intercept of the function g(x)
• The y-intercept of the function f(x) is equal to the y-intercept of the function g(x)
• The y-intercepts cannot be determined 

The cost of Patrick’s texting is described by y = 0.03x + 5. The cost of Melanie’s texting is shown in the table. Which service is cheaper when 50 texts are sent or received in one month? 

• Patrick’s service would cost $4.50. Melanie’s would cost $10.50. Patrick’s is cheaper.

• Patrick’s service would cost $6.50. Melanie’s would cost $12.50. Patrick’s is cheaper.

• Patrick’s service would cost $16.50. Melanie’s would cost $12.50. Melanie's is cheaper.

• Patrick’s service would cost $12.50. Melanie’s would cost $6.50. Melanie's is cheaper.

The equation y = 123x describes the function for the number of toys, y, produced at Toys Plus in, x, minutes of production time.  Another company, #1 Toys, has a similar function, also linear, that assigns the values shown in the table below.  Which company produces toys at a slower rate? 

• They produce toys at the same rate

• #1 Toys produces toys at a slower rate (123 toys per minute)

• Toys Plus produces toys at a slower rate (123 toys per minute)

• #1 Toys produces toys at a slower rate (120 toys per minute)