AnswersOK-Algebra II AWriting and Graphing Equations in Two Variables

Writing and Graphing Equations in Two Variables Answers

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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?

A
On a coordinate plane, a straight line with a positive slope begins at point (0, 0), and ends at point (2.5, 5).
Option A
B
On a coordinate plane, blue diamonds appear at points (0, 0), (1, 2), (2, 4).
Option B
C
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).
Option C
D
On a coordinate plane, blue diamonds appear at points (negative 2, negative 4), (negative 1, negative 2), (0, 0), (1, 2), (2, 4).
Option D
2
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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?

A
(–3, –0.90)
B
(–2.5, –0.75)
C
(4.5, 1.20)
D
(8, 2.40)
3

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

Question illustration
A
0.1 mile per minute
B
0.5 mile per minute
C
5 miles per minute
D
10 miles per minute
4

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?

A
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)
Option A
B
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)
Option B
C
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).
Option C
D
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)
Option D
5

Mr. Hann is trying to decide how many new copies of a book to order for his students. Each book weighs 6 ounces.

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

Otto used 5.5 cups of whole wheat flour and x cups of white flour in the recipe. What is the equation that can be used to find the value of y, the total amount of flour that Otto used in the recipe, and what are the constraints on the values of x and y?

y=5.5x; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 5.
Option
y=5.5x; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 5.5.
Option
y=x+5.5; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 5.
Option
y=x+5.5; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 5.5.
Option
7

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?

A
The values of both x and y can be any real number.
B
The values of both x and y will be real numbers greater than or equal to 0.
C
The value of x and y will always be zero
D
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.
8

The graph shows the relationship between the number of hours that Michelle has been driving and the distance that she has left to travel to get to her destination.

Question illustration
A
It took Michelle 6 hours to complete the trip.
B
For each hour that Michelle drove, she traveled an additional 50 miles.
C
In the first 6 hours, Michelle had traveled a total of 50 miles.
D
In the first 3 hours, Michelle had traveled a total of 200 miles.
9

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?

A
y=2x+20; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20.
B
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.
C
y=20x+2; x is any integer greater than or equal to 0, and y is an integer greater than or equal to 20.
D
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.
10

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

Question illustration
A
$110
B
$135
C
$165
D
$190

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