Determining Linear Relationships

Which situation represents a proportional relationship?

• The cost of purchasing a basket of oranges for $1.30 per pound plus $5.00 for the basket
• The cost of purchasing peaches for $7.00 per box of peaches with a delivery charge of $3.00
• The cost of purchasing grapefruit for $1.80 per pound with a coupon for $1.00 off the total cost
• The cost of purchasing apples for $1.75 per pound plus a shipping fee of $0.16 per pound

Which function is best represented by this graph?

• y = 1/2 x + 6
• y = -1/2 x + 3
• y = 2x + 6
• y = -2x + 3

Mr. Leonard is renting a car for one day. The table shows the total amount he will be charged for the car based on the number of miles he drives.
Which equation best represents c, the number of dollars Mr. Leonard should be charged for driving m miles?

• c = 0.10m + 30
• c = 30m + 0.10
• c = 0.50m + 30
• c = 30m + 0.50

Which equation can be used to describe the relationship between x and y shown in the graph?

• y = 3x + 2
• y = –3x – 6
• y = 3x – 6
• y = –3x + 2

The graph models the value of a machine over a 10-year period.
Which equation best represents the relationship between x, the age of the machine in years, and y, the value of the machine in dollars over this 10-year period?

• y = -0.002x + 2,500
• y = -500x + 8,000
• y = 500x + 8,000
• y = 0.002x + 2,500

The two lines graphed on the coordinate grid each represent an equation.
Which ordered pair represents a solution to both equations?

• (−4, 0)
• (−2, 1)
• (0, −4)
• (1, −2)

The graph models the linear relationship between the charge for a trip and the number of miles driven for two taxis.
Based on the graph, which statement appears to
be true? 

• The charge for a trip with a distance of 5 miles is $5 greater for Taxi 1 than for Taxi 2.
• The charge for a trip with a distance of 5 miles is $5 less for Taxi 1 than for Taxi 2.
• The charge for a trip with a distance of 5 miles is $20 for both Taxi 1 and Taxi 2.
• The charge for a trip with a distance of 5 miles cannot be determined for either Taxi 1 or Taxi 2.

Which graph shows a proportional relationship between x and y?

• A
• B
• C
• D

Frankie bought a new computer. He made an initial payment of $50 to the store, and he will pay $30 each month until the computer is paid off. Which equation represents the relationship between m, the number of monthly payments Frankie has made, and t, the total amount that Frankie has paid the store?

• t = 30m + 50
• t = 50m – 30
• t = 30m – 50
• t = 50m + 30

Write the equation for the line in slope-intercept form.

• y= -1x+3
• y= 4x+3
• y=1/4x+3
• y= -4x+3