Linear Relationships

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.

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

The graph of a linear function passes through the points (-1, -1/4) and (1, 3/4). Which equation represents the function?

• y = 1/2x - 1/4

• y = 1/2x + 1/4

• y = 1/4x - 1/2

• y = 1/4x + 1/2

A coach is ordering shirts for a team. - The coach pays a one-time fee of $24. - The coach also pays $8 for each shirt ordered. Which function can be used to find c, the total amount the coach pays in dollars when k shirts are ordered?

• c = 8k + 32

• c = 8k + 24

• c = 32k + 8

• c = 24k + 8

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

Which function is best represented by this graph?

• y = 4x - 2

• y = 4x + 8

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

The graph shows the relationship between the cost of some pecans and the weight of the pecans in pounds. Which function best represents the relationship shown in the graph?

• y = 5x

• y = (1/5)x

• y = 2x

• y = (1/2)x