What is NOT true about the interval $$20\le t\le28$$ in the graph that models the number of people in a room over time?

There are between 20 and 28 people in the room.

There are 60 people in the room during that interval.

No people enter or leave the room during that interval.

This interval represents the time during which there are the most people in the room.

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. Which of the following is true?

Joe bought 2 packages of Ramen noodles.

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.

Linear Models

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

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15 questions

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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

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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.

Tags

CCSS.HSF.LE.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Hot dogs cost $2.

Peanuts cost $3.

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

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

Tags

CCSS.HSA.REI.D.12

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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 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.

Tags

CCSS.HSA.REI.D.12

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

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which is the equation of the graph?

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Tags

CCSS.8.EE.B.5

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Linear Models

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?

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?

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.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Linear Models

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?

The inequality 3x+2y>963x+2y>963x+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?

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.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

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?

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.