Interpreting Linear Functions Graphically

The population of the town is given by the function y = 60,000 - 500x, where y is the number of inhabitants and x is the time in years. What is the population of the town after 9 years?

• 55,500

• 55,000

• 54,500

• D:54,000

The change in temperature is given by the function y = 68 - x, where y is the temperature in Fahrenheit degrees and x is the time in hours. What is the temperature after 2 hours?

• 70

• 69

• 67

• 66

The profit of a company is given by the function y = 100,000 - 2,000x, where y is the profit in dollars and x is the time in months. What is the profit of a company after 5 months?

• $98,000

• $90,000

• $89,000

• $80,000

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