Quiz about Inequalities Systems And Graphs

Question 1

Is $$(-4,2)$$ a solution of $$4 x+5 y \leq-7$$ ?

Accepted Answer

Covalent bond

Answer

$$No$$

Answer

$$Yes$$

Answer

$$Yes$$

Answer

$$Yes$$

Question 2

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, $$\$$ 250, \$$ 2$$

Question 3

A university will spend at most $$4,500$$ dollars to buy monitors and keyboards for a computer lab. Each monitor will cost $$250$$ dollars, and each keyboard will cost $$50$$ dollars.
Which inequality represents all possible combinations of $$x$$, the number of monitors, and $$y$$, the number of keyboards, the university can buy for the computer lab?

Accepted Answer

Covalent bond

Answer

$$ 250 x+50 y \leq 4,500 $$

Answer

$$ 250 x+50 y< 4,500 $$

Answer

$$ 50 x+250 y< 4,500 $$

Answer

$$ 50 x+250 y \leq 4,500 $$

Question 4

The graph of $$y=-\frac{1}{6} x-4$$ is shown on the grid.
![](http://admin.getprephub.com/media/editor/Screenshot%202023-05-30%20at%201.10.00%20PM_20230530111040975993.png)
Which ordered pair is in the solution set of $$y>-\frac{1}{6} x-4$$ ?

Accepted Answer

Covalent bond

Answer

$$(-8,8) $$

Answer

$$(6,-5) $$

Answer

$$ (4,-6) $$

Answer

$$ (-2,-7)$$

Question 5

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.

Inequalities Systems And Graphs Algebra 1 Maths Problems and Solutions

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