Quiz about Linear Equations And Graphs

Question 1

Juan wants to rent a house. He gathers data on many similar houses. The distance from the center of the city, $$x$$, and the monthly rent for each house, $$y$$, are shown in the scatter plot. Juan models the data with a linear equation. Based on the scatter pot, what could the number $$1275$$ represent the equation?

![](http://admin.getprephub.com/media/editor/2_20230223175515668533.png)

Accepted Answer

Covalent bond

Answer

The estimated rent for a house in the center of the city

Answer

The estimated minimum rent for a house far from the center of the city

Answer

The estimated change in rent for each additional mile from the center of the city

Answer

The estimated change in distance from the center of the city for each dollar change in rent

Question 2

A plot is shown relating the number of vehicles using alternative fuels to the number of years since 1992.

![](http://admin.getprephub.com/media/editor/sp18_20230223191255999131.png)
Based on the equation of the line of best fit for the data, which statement is a valid conclusion?

Accepted Answer

Covalent bond

Answer

The number of vehicles using alternative fuels in the United States increased from approximately 275,763 in 1992 by approximately 18,891 every year up to 1999 .

Answer

The average number of vehicles using alternative fuels in the United States from 1992 to 1999 was approximately 18,891 .

Answer

The increase in the number of vehicles using alternative fuels in the United States every year varied from approximately 18,891 to approximately 275,763 .

Answer

The number of vehicles using alternative fuels in the United States increased from approximately 18,891 in 1992 to approximately 275,763 in 1999.

Question 3

Line segment $$A C$$ has endpoints $$A(-1,-3.5)$$ and $$C(5,-1)$$.
Point $$B$$ is on line segment $$A C$$ and is located at $$(0.2,-3)$$.
What is the ratio of $$\frac{A B}{B C}$$ ?

Accepted Answer

Covalent bond

Answer

$$\frac{1}{4}$$

Answer

$$\frac{1}{6}$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{5}{4}$$

Question 4

Jason and his three friends went bowling. They bowled all afternoon and each paid $$3.25$$ dllar per game. Jason had a coupon for one free game. Three of his friends paid $$ 2.75$$ dolar each to rent shoes. Using this information, Jason writes the expression $$3.25({g}-1)+2.75(3)$$.

What does Jason's expression represent?

Accepted Answer

Covalent bond

Answer

The amount of money Jason and his friends spent that afternoon

Answer

The number of games Jason and his friends bowled

Answer

The number of friends who bowled

Answer

The amount of money Jason saved using the coupon

Question 5

A restaurant wants to increase the price of a mikshake that currently costs $$ 6$$. The restaurant has an employee conduct an analysis to predict the effect of the increased price on the weekly profit from milkshake sales. Based on the data collected, the employee makes the following graph.

![](http://admin.getprephub.com/media/editor/spr5_20230225133718373230.png)
Complete the sentence to analyze the effect of increasing the price of a milkshake on the profit earned.
The weekly profit from milkshake sales at a milkshake's current price is $$\ldots$$ which is given by the $$\ldots$$ Since the graph has its maximum at $$x=2$$, the restaurant will earn a maximum weekly profit of $$\ldots$$ if it sells each milkshake for $$\ldots$$.

Accepted Answer

Covalent bond

Answer

$$100$$ , $$y$$-intercept,$$250$$, $$8$$

Answer

$$\$$ 100, x$$-intercept, $$\$$ 100, \$$ 8$$

Answer

$$\$$ 200, x$$-intercept, $$\$$ 150, \$$ 2$$

Answer

$$\$$ 100, y$$-intercept, $$\$$ 250, \$$ 2$$

Ohio State Linear Equations And Graphs Algebra 1 Maths Problems and Solutions

Many students find Linear Equations And Graphs for Algebra 1 particularly challenging. Strengthen your concepts and gain confidence for your exams by solving free questions for Linear Equations And Graphs from Ohio State for Algebra 1 preparation.