Model Linear Relationships

Write the an equation for the graph shown.

• y = -2x + 2

• y = 2x + 2

• y = 1/2x- 2

• y = -1/2x + 2

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

• y = (-2/3)x + 4

• y = (2/3)x + 4

• y = (3/2)x + 4

• y = (-3/2)x + 4

The table shows several pairs of x- and y-values for a linear relationship. Create an equation in slope-intercept form that can be used to model this relationship.

The graph shows the relationship between the number of gallons of fuel remaining in the tank of a semitruck and the number of miles traveled by the semitruck. Which function can be used to find y, the number of gallons of fuel remaining in the tank of the semitruck after it has traveled x miles?

• F y = 240x - 30

• G y = (1/6)x + 240

• H y = 240x - 10

• J y = (1/10)x + 240

The ticket sales for a concert started at 4:00 P.M. The table shows the linear relationship between the number of tickets remaining and the number of hours since 4:00 P.M.

• y = 3,000x + 12,000

• y = 3,000x + 15,000

• y = –3,000x + 12,000

• y = –3,000x + 15,000

Mr. Leonard is renting a car for one day. The table below 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

A bakery delivers cookies to offices. - The bakery charges a $5 delivery fee. - The bakery charges a total of $20.00 for delivering 12 cookies. - The bakery charges a total of $27.50 for delivering 18 cookies. Which equation represents the total charge in dollars, y, for a delivery of x cookies?

• y = 1.25x + 5

• y = 5x + 1.25

• y = 1.25x + 6

• y = 5x + 7.50

The graph of a linear function is shown on the grid. Create an equation that represents the relationship shown on the graph. Move the correct answer to each box. Not all answers will be used.

A water tank currently contains 275 gallons of water. The amount of water in the tank will decrease at a constant rate of 15 gallons per week. Which function can be used to find t, the total number of gallons of water in the tank after w weeks?

• t = 15w - 275

• t = -15w + 275

• t = 275w - 15

• t = -275w + 15