1. Which graph represents viable values for y = 2x, where x is the number of pounds of rice scooped and purchased from a bulk bin at the grocery store and y is the total cost of the rice?

Question

On a coordinate plane, a straight line with a positive slope begins at point (0, 0), and ends at point (2.5, 5).
On a coordinate plane, blue diamonds appear at points (0, 0), (1, 2), (2, 4).
On a coordinate plane, a straight line with a positive slope begins at point (negative 2.5, negative 5), crosses the x- and y-axis at point (0, 0), and ends at point (2.5, 5).
On a coordinate plane, blue diamonds appear at points (negative 2, negative 4), (negative 1, negative 2), (0, 0), (1, 2), (2, 4).

2. Peaches are being sold for $2 per pound.The customer created a model to represent the total cost of peaches bought. If x represents the number of pounds of peaches bought and y represents the total cost of the peaches, which best describes the values of x and y?

The values of both x and y can be any real number.
The values of both x and y will be real numbers greater than or equal to 0.
The value of x and y will always be zero
The value of x can be any real number greater than or equal to 0, but the value of y must be an integer greater than or equal to 0.

3. Vlad spent 20 minutes on his history homework and then completely solved x math problems that each took 2 minutes to complete. What is the equation that can be used to find the value of y, the total time that Vlad spent on his homework, and what are the constraints on the values of x and y?

y=2x+20; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20.
y=2x+20; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20.
y=20x+2; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20.
y=20x +2; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20.

4. The graph shows the relationship between the number of minutes Maria spent jogging on a treadmill and the distance she jogged.

A graph titled Miles on the Treadmill. The x-axis shows number of minutes, numbered 5 to 45, and the y-axis shows distance in miles, numbered 1 to 9. A straight line with a positive slope begins at point (0, 0) and ends at point (45, 4.5).
What was her speed?

0.1 mile per minute
0.5 mile per minute
5 miles per minute
10 miles per minute

5. Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee?

(–3, –0.90)
(–2.5, –0.75)
(4.5, 1.35)
(8, 2.40)

6. Which graph shows the equation V = 4 + 2t, where V is the total volume of water in a bucket and t is the elapsed time in minutes?

On a coordinate plane, the x-axis shows elapsed time in minutes (t) and the y-axis shows total volume of water (V). A straight line with a positive slope begins at point (0, 3) and ends at point (5.5, 24).
On a coordinate plane, the x-axis shows elapsed time in minutes (t) and the y-axis shows total volume of water (V). Solid circles are at points (0, 3), (1, 6), (2, 10), (3, 14), (4, 18), (5, 22).
On a coordinate plane, the x-axis shows elapsed time in minutes (t) and the y-axis shows total volume of water (V). A straight line with a positive slope begins at point (0, 4) and ends at point (6, 16).
On a coordinate plane, the x-axis shows elapsed time in minutes (t) and the y-axis shows total volume of water (V). Solid circles are at points (0, 4), (1, 6), (2, 8), (3, 10), (4, 12), (5, 14), (6, 16).

7. Which description is represented by a discrete graph?

Kiley bought a platter for $19 and several matching bowls that were $8 each. What is the total cost before tax?
The temperature at 9 a.m. was 83° F and is heating up at an average rate of 6°F per hour. What is the temperature x hours later?
Juan ate an egg with 78 calories and some cereal with 110 calories per serving for breakfast. What is the total amount of calories he consumed?
A bottle contained 2,000 mL of liquid and is being poured out at an average rate of 300 mL per second. How much liquid is left in the bottle after x seconds?

8. Which graph represents viable values for y = 5.5x, where x is the number of cans of tomato paste and y is the total weight of the sealed cans in ounces?

On a coordinate plane, x-axis is numbered negative 5 to positive 5 in increments of 1, and the y-axis is numbered negative 27.5 to 27.5 in increments of 5.5. A straight line with a positive slope begins at point (0, 0) and ends at point (5, 27.5)
On a coordinate plane, x-axis is numbered negative 5 to positive 5 in increments of 1, and the y-axis is numbered negative 27.5 to 27.5 in increments of 5.5. Solid circles appear at points (0, 0), (1, 5.5), (2, 11), (3, 16.5), (4, 22), (5, 27.5)
On a coordinate plane, x-axis is numbered negative 5 to 5 in increments of 1, and the y-axis is numbered negative 27.5 to 27.5 in increments of 5.5. A straight line with a positive slope begins at point (negative 5, negative 27.5) and ends at point (5, 27.5).
On a coordinate plane, x-axis is numbered negative 5 to 5 in increments of 1, and the y-axis is numbered negative 27.5 to 27.5 in increments of 5.5. Solid circles appear at points (negative 5, negative 27.5), (negative 4, negative 22), negative 3, negative 16.5), (negative 2, negative 11), (negative 1, negative 5.5), (0, 0), (1, 5.5), (2, 11), (3, 16.5), (4, 22), (5, 27.5)

9. The graph below shows the amount of money left in the school’s desk fund, f, after d desks have been purchased.

A graph titled Desk Fund Amount. The horizontal axis shows the number of desks purchased (d), numbered 1 to 9, and the vertical axis shows the dollars left in fund (f) numbered 100 to 800. Blue diamonds appear at points (0, 700), (1, 590), (2, 480), (3, 370), (4, 260), (5, 150), (6, 40).

For each new desk that is purchased, by how much does the amount of money left in the school’s desk fund decrease?

$110
$135
$165
$190

10. Julie needs to cut 4 pieces of yarn, each with the same length, and a piece of yarn 7.75 inches long. Let x represent the length of each of the equal pieces of yarn that Julie decides to cut. What is the equation that can be used to determine the total length of all of the yarn that she ends up cutting, y? Is the graph of the equation continuous or discrete?

y=7.75x+4; discrete
y=7.75x+4; continuous
y=4x+7.75; discrete
y=4x+7.75; continuous

Answer 1

1. Which graph represents viable values for y = 2x?

   • Answer: On a coordinate plane, a straight line with a positive slope begins at point (0, 0), and ends at point (2.5, 5).

2. Which best describes the values of x and y for the peaches?

   • Answer: The values of both x and y will be real numbers greater than or equal to 0.

3. What is the equation and constraints for Vlad's homework time?

   • Answer: y = 2x + 20; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20.

4. What was Maria's speed?

   • Answer: 0.1 mile per minute. (To get this, divide the distance 4.5 miles by the time 45 minutes = 4.5 / 45 = 0.1).

5. Which ordered pair is a viable solution for the library book fee?

   • Answer: (4.5, 1.35). (Each day late is $0.30, so 4.5 days late = 4.5 * 0.30 = 1.35).

6. Which graph shows the equation V = 4 + 2t?

   • Answer: On a coordinate plane, the x-axis shows elapsed time in minutes (t) and the y-axis shows total volume of water (V). A straight line with a positive slope begins at point (0, 4) and ends at point (6, 16).

7. Which description is represented by a discrete graph?

   • Answer: Kiley bought a platter for $19 and several matching bowls that were $8 each. What is the total cost before tax? (It involves specific quantities of bowls bought, making it discrete).

8. Which graph represents viable values for y = 5.5x?

   • Answer: On a coordinate plane, x-axis is numbered negative 5 to positive 5 in increments of 1, and the y-axis is numbered negative 27.5 to 27.5 in increments of 5.5. A straight line with a positive slope begins at point (0, 0) and ends at point (5, 27.5).

9. By how much does the amount of money left in the school’s desk fund decrease for each desk purchased?

   • Answer: $110. (The amount left decreases from $700 to $590 by $110 for each desk).

10. What is the equation for the total length of yarn Julie cuts, and is it continuous or discrete?

    • Answer: y = 4x + 7.75; discrete. (Since the length of yarn pieces cut can be considered in distinct whole units, even though x can vary continuously, the final contexts of the problem imply discrete segments).

Answer 2

for 1 6 and 8 just say graph 1 2 3 or 4 basically in number

Answer 3

Sure! Here are the simplified answers for questions 1, 6, and 8:

1. Answer: Graph 1
2. Answer: Graph 3
3. Answer: Graph 1

Answer 4

70 percent

Answer 5

It seems like you're referring to a percentage, possibly related to your understanding or a score. Could you provide more context or clarify what you mean by "70 percent"? This way, I can assist you better!