Quiz about Linear Relationships

Question 1

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.

Accepted Answer

$$y=\frac{3}{4}x+2$$

Answer

$$y=3x+2$$

Answer

$$y=-4x-1$$

Answer

$$y=8x$$

Question 2

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?

Accepted Answer

y = 1.25x + 5

Answer

y = 5x + 1.25

Answer

y = 1.25x + 6

Answer

y = 5x + 7.50

Question 3

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.

Accepted Answer

$$y=\frac{3}{2}x+6$$

Answer

$$y=6x-2$$

Answer

$$y=\frac{2}{3}x+6$$

Answer

$$y=8x-9$$

Question 4

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?

Accepted Answer

t = -15w + 275

Answer

t = 15w - 275

Answer

t = 275w - 15

Answer

t = -275w + 15

Question 5

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

Accepted Answer

y = 1/4x - 1/2

Answer

y = 1/2x - 1/4

Answer

y = 1/2x + 1/4

Answer

y = 1/4x + 1/2

Question 6

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?

Accepted Answer

c = 8k + 24

Answer

c = 8k + 32

Answer

c = 32k + 8

Answer

c = 24k + 8

Question 7

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?

Accepted Answer

J y = (1/10)x + 240

Answer

F y = 240x - 30

Answer

G y = (1/6)x + 240

Answer

H y = 240x - 10

Question 8

Which function is best represented by this graph?

Accepted Answer

$$y=\frac{1}{4}x-2$$

Answer

$$y=\frac{1}{4}x+8$$

Answer

y = 4x - 2

Answer

y = 4x + 8

Question 9

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?

Accepted Answer

y = 5x

Answer

y = (1/5)x

Answer

y = 2x

Answer

y = (1/2)x

Question 10

Which function is best represented by this graph?

Accepted Answer

$$y=-\frac{1}{2}x+3$$

Answer

$$y=\frac{1}{2}x+6$$

Answer

y = -2x + 3

Answer

y = 2x + 6

Question 11

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?

Accepted Answer

c = 0.10m + 30

Answer

c = 30m + 0.10

Answer

c = 0.50m + 30

Answer

c = 30m + 0.50

Question 12

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?

Accepted Answer

t = 30m + 50

Answer

t = 50m + 30

Answer

t = 30m - 50

Answer

t = 50m - 30

Question 13

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

Accepted Answer

y = 3x - 6

Answer

y = 3x + 2

Answer

y = -3x - 6

Answer

y = -3x + 2

Linear Relationships

15 questions

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?

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?

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

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?

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?

Which function is best represented by this graph?

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.

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?

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