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The table above shows some pairs of x values and y values. Which of the following equations could represent the relationship between x and y ?

A city is planning to build a rock retaining wall, a monument, and a garden in a park. The table above shows four rock types that will be considered for use in the project. Also shown for each rock type is its weight per volume, in pounds per cubic foot (lb/ft³), and the cost per pound, in dollars. Only basalt, granite, and limestone will be used in the garden. The rocks in the garden will have a total weight of 1,000 pounds. If 330 pounds of granite is used, which of the following equations could show the relationship between the amounts, x and y, in ft³, for each of the other rock types used?

$5x+7y=1$

$ax+by=1$

In the given pair of equations, $a$ and $b$ are constants. The graph of this pair of equations in the xy-plane is a pair of perpendicular lines. Which of the following pairs of equations also represents a pair of perpendicular lines?

$5G+45R=380$

At a school fair, students can win colored tokens that are worth a different number of points depending on the color. One student won $G$ green tokens and $R$ red tokens worth a total of $380$ points. The given equation represents this situation. How many more points is a red token worth than a green token?

Line $k$ is defined by $y=\frac{1}{4}x+1$. Line $j$ is parallel to line $k$ in the xy-plane. What is the slope of $j$?

For a camping trip a group bought $x$ one-liter bottles of water and $y$ three-liter bottles of water, for a total of $240$ liters of water. Which equation represents this situation?

To earn money for college, Avery works two part-time jobs: A and B. She earns $10 per hour working at job A and $20 per hour working at job B. In one week, Avery earned a total of s dollars for working at the two part-time jobs. The graph above represents all possible combinations of numbers of hours Avery could have worked at the two jobs to earn s dollars. What is the value of s ?

A teacher is creating an assignment worth $70$ points. The assignment will consist of questions worth $1$ point and questions worth $3$ points. Which equation represents this situation, where $x$ represents the number of $1$-point questions and $y$ represents the number of $3$-point questions?

Figure A and figure B are both regular polygons. The sum of the perimeter of figure A and the perimeter of figure B is $63$ inches. The equation $3x+6y=63$ represents this situation, where $x$ is the number of sides of figure A and $y$ is the number of sides of figure B. Which statement is the best interpretation of $6$ in this context?

A shipment consists of $5$-pound boxes and $10$-pound boxes with a total weight of $220$ pounds. There are $13$ $10$-pound boxes in the shipment. How many $5$-pound boxes are in the shipment?

$2.5b+5r=80$

The given equation describes the relationship between the number of birds, $b$, and the number of reptiles, $r$, that can be cared for at a pet care business on a given day. If the business cares for $16$ reptiles on a given day, how many birds can it care for on this day?

$y=70x+8$

Which table gives three values of $x$ and their corresponding values of $y$ for the given equation?

The line with the equation is graphed in the xy‑plane. What is the x-coordinate of the x‑intercept of the line?

The point with coordinates $(d,4)$ lies on the line shown. What is the value of $d$?

In the equation above, F represents the total amount of money, in dollars, a food truck charges for x drinks and y salads. The price, in dollars, of each drink is the same, and the price, in dollars, of each salad is the same. Which of the following is the best interpretation for the number 7.00 in this context?

In the xy-plane, line k is defined by . Line j is perpendicular to line k, and the y-intercept of line j is . Which of the following is an equation of line j ?

The table shows three values of $x$ and their corresponding values of $y$, where $n$ is a constant, for the linear relationship between $x$ and $y$. What is the slope of the line that represents this relationship in the xy-plane?

A neighborhood consists of a $2$-hectare park and a $35$-hectare residential area. The total number of trees in the neighborhood is $\mathrm{3,934}$. The equation $2x+35y=\mathrm{3,934}$ represents this situation. Which of the following is the best interpretation of x in this context?

Jay walks at a speed of $3$ miles per hour and runs at a speed of $5$ miles per hour. He walks for $w$ hours and runs for $r$ hours for a combined total of $14$ miles. Which equation represents this situation?

How many liters of a 25% saline solution must be added to 3 liters of a 10% saline solution to obtain a 15% saline solution?

What is the slope of the graph of $y=\frac{1}{4}\left(27x+15\right)+7x$ in the xy-plane?

A line passes through the points $\left(4,6\right)$ and $\left(15,24\right)$ in the xy-plane. What is the slope of the line?

What is the y-intercept of the line graphed?

The equation $46=2a+2b$ gives the relationship between the side lengths $a$ and $b$ of a certain parallelogram. If $a=9$, what is the value of $b$?

Last week, an interior designer earned a total of $\$\mathrm{1,258}$ from consulting for $x$ hours and drawing up plans for $y$ hours. The equation $68x+85y=\mathrm{1,258}$ represents this situation. Which of the following is the best interpretation of $68$ in this context?