To charge customers for color printing, a company uses the algebraic rule $$f\left(x\right)=2x+5$$ where x represents the number of copies ordered and f(x) is the charge in dollars. Which scenario below fits this rule?

There is a $5 initial charge and an additional charge of $2 per copy.

There is a $2 initial charge and an additional charge of $5 per copy.

The company charges $5 for every 2 copies.

The company charges $2 for every 5 copies.

The equation $$2.25x+2y=18$$ represents the amount of money spent on cans of Spaghetti O's and packages of Ramen noodles, y, that Joe bought for the food drive. If this equation were graphed, what would the point (0, 9) represent in context?

If Joe bought only Ramen noodles, he could buy 9 packages.

If Joe bought only Spaghetti O's, he could buy 9 cans.

Choose the linear inequality and explanation for its shading according to the graph.

$$y>2x+3\ $$ is shaded above the line because the value of y is always more than $$2x+3$$

$$y>2x+3$$ is shaded above the line because the slope is positive.

$$y>2x+3$$ is shaded above the line because the y-intercept is positive.

$$y>2x+3$$ is shaded above the line because $$\left(0\ ,\ 0\right)$$ is in the solution region.

A dietician is creating a granola bar with at most 180 calories. The graph shows the relationship between the number of calories from proteins or carbohydrates and calories from fat. Which of the following statements is NOT true?

The graph is shaded below the line because the slope of the line is negative so combinations must be less than the line.

A situation like this will always have a decreasing slope because the more of x that is used/bought/included, the less of y can be used/bought/included. In this case, the more calories of protein that are used, the less calories of fat can be used to stay within 180 calories.

The graph is shaded below the line because the context represents an inequality due to the fact that the granola bar was to be at most 180 calories and there are many combinations that could result in 180 calories or less.

The graph is shaded below the line because the line represents the combinations that are 180 calories but the dietician would be okay with combinations that result in granola bars that are less than 180.

The inequality $$3x+2y>96$$ approximately models the projected sales for a stadium vendor if she sells more than $96 of snacks during the game and is represented in the graph. Which statement is true?

The vendor wants to sell more than $96 worth of snacks.

The vendor wants to sell at least $96 worth of snacks.

The inequality 3 x + 2 y > 96 3x+2y>96 3 x + 2 y > 9 6 approximately models the projected sales for a stadium vendor if she sells more than $96 of snacks during the game and is represented in the graph. Which statement is true?

The line is dashed and shaded above the line because it is greater than but not equal to $96.

The line is dashed because all inequalities are dashed to designate the difference between an inequality and a line.

The graph is shaded above the line so you can clearly see the combinations below the line.

Based on the inequality and associated graph, the vendor is only trying to sell up to $96 worth of snacks.

Linear Relationship Models

Quiz

•

Mathematics

•

8th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF.LE.B.5, HSA.REI.D.12, 8.EE.B.6

+6

Standards-aligned

Anthony Clark

FREE Resource

15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The cost of hiring a private tutor is modeled by the function C(n)=32n+20. What does 20 represent in this model?

Price per hour

Flat fee to hire tutor

Maximum number of hour you can hire the tutor

I don't know what it means

Tags

CCSS.HSF.LE.B.5

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The cost of hiring a private tutor is modeled by the function C(n)=32n+20. How many hour did the tutor work to earn $212?

4 hours

6 hours

5 hours

7 hours

Tags

CCSS.HSF.LE.B.5

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following equations represents the line that has a y-intercept of (0, -2) and x-intercept of (3 , 0)?

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which is the equation of the graph?

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Tags

CCSS.8.EE.B.5

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which equation models the relationship between shipping fee and number of items?

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

This table shows the relationship between humerus
(arm bone) length and a woman’s height.

Predict the height of a woman whose humerus length
is 40 cm.

176 cm

178.75 cm

173.25 cm

181.5 cm

Tags

CCSS.HSF.IF.A.2

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Linear Relationship Models

15 questions

The cost of hiring a private tutor is modeled by the function C(n)=32n+20. What does 20 represent in this model?

The cost of hiring a private tutor is modeled by the function C(n)=32n+20. How many hour did the tutor work to earn $212?

Which of the following equations represents the line that has a y-intercept of (0, -2) and x-intercept of (3 , 0)?

Which is the equation of the graph?

Which equation models the relationship between shipping fee and number of items?

This table shows the relationship between humerus (arm bone) length and a woman’s height. Predict the height of a woman whose humerus length is 40 cm.

Choose the linear inequality and explanation for its shading according to the graph.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

This table shows the relationship between humerus
(arm bone) length and a woman’s height.

Predict the height of a woman whose humerus length
is 40 cm.