Linear Functions and Rates of Change

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 cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Find the equation for Beth's service.  Which service is cheaper for 8 movies in one month?

• Beth's service ($38 vs. $40) is cheaper

• Nate’s service ($42 vs. $44) is cheaper

• Nate’s service ($38 vs. $40) is cheaper

• Beth's service ($42 vs. $44) is cheaper

What is the rate of change (slope) to rent a raft from Ryan's Rafts?

• $15 per hour

• $2.25 per hour

• $17.25 per hour

• $1 per hour

Who weighed more at the beginning of the show?

• Valerie

• Oscar

• Mrs. Conte

• They weighed the same

Who is losing weight faster?

• Valerie

• Oscar

• Mrs. Conte

• They are losing the same amount of weight

Randy charges his tenants $400 each month to rent his houses plus $600 security deposit. In the new year, the property taxes increased on the area where he rents so as a result he must increase the rate of change by $25 to ensure his profits are not harmed. Write an equation that best represents how much his tenants will now have to pay. (*Remember rate of change is the slope.)

Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits. y = 3x + 10 What does the y-intercept (b) of the graph of this equation represent?

Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles. y = 1/2x + 10 What does the slope (m) of the graph of this equation represent?

The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Find the equation for Beth's service. Which service is cheaper for 8 movies in one month?

Who is losing weight faster?