Interpreting Slope from Equations

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.

What does the slope of the graph represent?

• The number of hours of work it takes to earn $320

• The amount of money earned per hour

• The amount earned for 40 hours of work

• The number of hours worked per dollar earned

What is the rate of change of the balance with respect to the number of deposits?

• $100 per deposit

• $50 per deposit

• $0.50 per deposit

• $2 per deposit

What does the slope mean in the context of the problem?

• The cost will increase by $1.40 per topping

• The cost will decrease by $1.40 per topping

• The cost will increase by $1.90 per topping

• The cost will decrease by $1.90 per topping 

Interpret the slope.

• The price drops by $40 for every unit.

• The price drops by $2 for every unit.

• The price was $40 in the beginning.

• The price was $2 in the beginning.

Which statement best describes the rate of change of the water level?

• The initial water level was 12 in.

• The water level increased 2 in per hour

• The water level was measured for 7 hours.

• The water level decreased 2 in per hour

What does the rate of change represent?

• The amount of miles rode on the bike per minute

• The time it took to reach the recreation center

• The total amount of miles for the bike ride

• The time it took to ride 10 miles.

You have already saved some money and plan to save $50 from each paycheck from now on. The situation is modeled by the equation T = 50p + 250 where T is the total you have saved for p number of paychecks. What does slope represent?

• You save $250 each week

• You save $50 each paycheck

• You start with $50

• You only have $250

• y = 4/5x + 3
• y = -5/4x + 3
• y = 5/4x + 4
• y = -4/5x + 3

What does the rate of change of this graph represent?

• The number of cookies the presenter had before making any presentations

• The number of cookies the presenter gave away during every presentation

• The number of presentations the presenter made per hour

• The maximum number of presentations the presenter made before running out of cookies