Slope from a Word Problem

What is the rate of change of the cost with respect to the number of miles driven?

• The daily fee of renting the truck is $40.00.

• The cost per mile to rent a truck is $0.50.

• The maximum amount of miles the truck can be driven is 24.5.

• The cost of renting a truck cannot exceed $53.00.

What is the rate of change of the cost of the dance lessons with respect to the number of lessons taken?

• Each dance lesson costs $10.00.

• The maximum amount a person will pay for dance lessons is $115.00

• The maximum number of dance lessons a person can take is 9.

• The registration fee to begin dance lessons is $12.00

What does "m" represent in y=mx+b?

• y-intercept

• slope

• mushroom

• nothing

Which of the following are ways to find the rate of change?

• change in y over change in x

• rise over run

• subtract y coordinates over subtract x coordinates

• all of the above

A train is 500 meters above ground and descends at the rate of 50 meters per minute. What is the slope/rate?

• -50

• 500

• y = 10

• 5

In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.

Mr. Z is starting his own car club, there is a $30 join up fee and a $5 monthly fee. What is the rate of change?

• 30

• 5

A man is climbing down from 100 feet high descending 30 feet per minute. What is the rate of change?

• -30

• 30

• 100

• -100

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

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change? 

• 200

• 150

• 300

• 75