Interpreting Linear Functions Real World Examples

Izzy works at a shoe store where she makes $40 per shift plus $10 for each pair of shoes she sells. T= 10x+40 T is Izzy's total income, and x is the number of pairs she sells. If Izzy sells 3 pairs of shoes, what will her income be? 

• $70

• $50

• $120

• $130

Izzy works at a shoe store where she makes $40 per shift plus $10 for each pair of shoes she sells. T is Izzy's total income, and x is the number of pairs she sells. If Izzy wants to make $100 for her shift, how many pairs of shoes does she need to sell?

• 6 pairs

• 5 pairs

• 10 pairs

• 2 pairs

The temperatures in NYC were tracked in this graph.

What does the point (3, 50) represent?

• On the third day, it was 50 degrees F.

• It was only 3 degrees F on day 50.

• The temperature rose 3 degrees on day 50.

• None of these.

Russel's height is tracked in this graph. What does the point (12, 3) represent?

• Russel was 3 feet tall when he was 12 years old.

• Russel grew 3 inches when he was 12 years old.

• Russel grew 12 inches when he was 3 years old.

• Russel grew 12 inches over 3 years.

What does the point (2, 4) represent?

• On day 2, you got 4 facts correct.

• You got 2 facts correct on day 4.

• You got a total of 6 facts correct.

• On day 3, you got 12 facts correct.

The height of water in a bucket can be tracked with the equation \(y=2x+5\) where \(y\) is the height of the water in cm and \(x \)is the number of seconds that have gone by. What does the point (4, 13) represent?

• After 4 seconds, the water height is 13 cm. 

• After 13 seconds, the water height is 4 cm. 

• The water height is between 4 and 13 cm. 

• This point would not exist on the graph. 

The distance a car travels can be modeled by the equation y=50x where y is the miles traveled and x is the number of hours that have gone by. What does the point (0, 0) represent?

• The starting point of the car. 

• Where the car ends after time is up. 

• The car travels 50 miles total. 

• This point would not exist on the graph. 

Given the function, f, shown on the graph, what is the value of f(3)?

• 0

• 2

• 6

• 1

If f(x) = 3x - 9, find f(5).

• f(5) = 6

• f(5) = 16

• f(5) = -4

• f(5) = 24

How would you write y = 2x - 3 in function notation?

• y = 2x-3

• f = 2x - 3

• f(x) = 2x - 3

• Can't be written in function notation