Sketching and Interpreting Functions

What is the general trend of this line graph?

• The more you mow, the less money you make.

• You make the same amount of money regardless of how long you mow.

• The more you mow, the more money you make.

• Mowing is dangerous.

Liana hikes slowly away from her campsite for 30 minutes. Then she rests for 10 minutes. Finally, she hikes back at a faster pace, reaching her campsite in 20 minutes. Choose the graph that could represent Liana’s distance from the campsite and time.

• 
• 
• 
• 

Which graph matches the following situation? Nick begins his ride slowly but then stops to talk with some friends. After a few minutes, he continues his ride, gradually increasing his speed.

• 1

• 2

• 3

According to the graph, at what speed is this car traveling in miles per hour?

• 80 mph

• 20 mph

• 40 mph

• 160 mph

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

• y = 50x - 135

• y = 50x + 125

• y = 125 + 50

• y = 50x

What is the rate of change demonstrated in this graph?

• 2 cm per hour

• ¹/₄ cm per hour

• ¹/₂ cm per hour

• 4 cm per hour

What does the rate of change represent in this situation?

• The sloth runs 1 feet in 3 minutes

• The sloth runs 3 feet in 1 minute

• The sloth runs fast

• The sloth runs 6 feet in 1 minute

List the types of intervals that the graph demonstrates in order.

• decreasing, constant, increasing, constant

• increasing, decreasing, constant

• increasing, constant, increasing, constant

• increasing, constant, decreasing, constant

Which statement is true about this function?

• The function is never constant

• The function is always increasing

• The function is never decreasing

• The function increases at the same rate between the interval x=11:00 and x=13:00

Over which interval of time is this person returning home?

• A

• B

• C

• D

• E