Linear Relationships Quiz

Wande and Dacia are working on a city planning project. They need to draw a road that passes through two specific locations on their city map. The coordinates of these locations are (2, 5) and (4, 9). Can you assist them in writing the equation of the line representing the road?

• y = 5x + 2

• y = 2x + 1

• y = 3x - 1

• y = 2x + 5

Roniel is planning a vacation and decides to hire a motorhome from a company that charges a flat fee of $50 plus $20 per day. Tarreall, who is good at math, helps Roniel by writing a linear function to represent the total cost of hiring the motorhome for x days. What is the function Tarreall wrote?

• f(x) = 30x + 50

• f(x) = 50x + 20

• f(x) = 10x + 100

• f(x) = 20x + 50

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Daven is assisting Christian in constructing a ramp for his skateboard. They plan to construct it such that for every 3 feet it extends horizontally, it rises 2 feet. If this situation is represented by the equation y = 3x - 2, what is the slope and y-intercept of the line?

• The slope is 0 and the y-intercept is 3

• The slope is 3 and the y-intercept is -2.

• The slope is 2 and the y-intercept is 3

• The slope is -3 and the y-intercept is 2

Madison, Lahzai, Devin, Jaheim, and Damari are running a lemonade stand at their school fair. The amount of money they make depends on the number of lemonades they sell. If we plot a graph with the number of lemonades on the x-axis and the money made on the y-axis, explain what the slope and y-intercept represent in this context.

• The slope represents the rate of change or the steepness of the line, which in this case is the price per lemonade, while the y-intercept represents the value of the dependent variable when the independent variable is zero, which in this case is the starting money before selling any lemonades.

• The slope represents the temperature of the line, while the y-intercept represents the length of the line.

• The slope represents the color of the line, while the y-intercept represents the shape of the line.

• The slope represents the speed of the line, while the y-intercept represents the width of the line.

Mauricia and Taminah started a small business where they produce handmade soaps. They make 1000 soaps and sell them for $5 each. Write a linear function to represent the total revenue Mauricia and Taminah would make from selling x soaps.

• R(x) = 5 / x

• R(x) = 5x^2

• R(x) = 5x

• R(x) = 5 + x

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Meiling, Ohmarie, Jeremiah, Jehsean, and Julien are part of a savings club. Each week, they each save money according to the linear function y = 2x + 4, where y is the total amount each of them saves and x is the number of weeks. How much money will each of them have saved after 5 weeks?

• 14

• 6

• 20

• 10

Tags

CCSS.HSF.LE.B.5

Savian and Amaun are working together to construct a ramp for Malachai's wheelchair. They determined that the ramp has a slope of -3 and intersects the point (4, 7) on their design plan. Can you assist them in formulating the equation of the ramp in slope-intercept form?

• y = 3x + 19

• y = -3x + 19

• y = -3x - 19

• y = 3x - 19

Annaliyah is planning to construct a rectangular swimming pool that is 15 meters long and 10 meters wide in her backyard. Abigail and Jessica are assisting her in formulating a linear function to represent the area of the pool as a function of its length. Can you assist them?

• f(x) = 10/x

• f(x) = 10x

• f(x) = 10 + x

• f(x) = 15x

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2