Comparing Initial Values in Linear Functions

Two athletes are training over a two-week period to increase the number of push-ups each can do. Athlete A can do 16 pushups to start, and increases his total by 2 each day. Athlete B's progress is charted in the table. Compare the initial values.

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Connor and Pilar are in a rock-climbing club. They are climbing down a canyon wall. Connor starts from a cliff that is 200 feet above the canyon floor and climbs down at an average speed of 10 feet per minute. Pilar climbs down the canyon wall as shown in the table. Compare the initial values. Who starts higher on the canyon wall?

• Connor

• Pilar

Find the rate of change

• 1

• 2

• 11

• Not a constant slope/Non-Linear

Who is losing weight faster?

• Valerie

• Oscar

• Mrs. Conte

• They are losing the same amount of weight

Which of the key words mean initial value? Select all that apply.

• begin

• per

• each

• start

Connor and Pilar are in a rock-climbing club. They are climbing down a canyon wall. Connor starts from a cliff that is 200 feet above the canyon floor and climbs down at an average speed of 10 feet per minute. Pilar climbs down the canyon wall as shown in the table. Who climbs at a faster rate?

• Connor

• Pilar

• y

• m

• x

• b

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 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

Who has the greater rate of change?

• Braden has the greater rate of change with 60/3

• Omar has the greater rate of change with 100

• Braden has the greatest rate of change with 60

• They both have the same rate of change

Who has the greater rate of change?

• Tyler has the greater rate of change with 2/3

• Aubri has the greater rate of change with 3/2

• Tyler has the greater rate of change with 3/2

• They have the same rate of change.