AnswersVT-GA-EOC-Algebra IAdding and Subtracting Polynomials

Introduction to Functions Answers

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To bill customers for water usage, one city converts the number of gallons used into units. This relationship is represented by the equation u = 748g, where g is the total number of gallons of water used and u is the number of units. Determine which statements about the relationship are true. Choose two options.

A
g is the dependent variable.
B
u is the dependent variable.
C
g is the independent variable.
D
u is the independent variable.
E
The two variables cannot be labeled as independent or dependent without a table of values.
2
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Livia eats a chicken drumstick with 11 grams of protein. She also eats x cheese sticks, each with 7 grams of protein. The table shows y , the total number of grams of protein that Livia will consume if she eats x cheese sticks. Livia may eat only part of a cheese stick, so x may not always be a whole number.

Question illustration
A
all real numbers
B
all real numbers greater than or equal to 0
C
all real numbers greater than or equal to 11
D
all integers greater than or equal to 11
3

On a coordinate plane, a curved line begins at point (1, 2) and ends at (5, 4).

Question illustration
A
all real numbers
B
all real numbers greater than or equal to 0
C
all real numbers greater than or equal to 1
D
all real numbers greater than or equal to 2
4

Which table represents a function?

A
Option
B
Option
C
Option
D
Option
5

A mapping diagram showing a relation, using arrows, between input and output for the following ordered pairs: (negative 3, negative 9), (2, negative 6), (negative 5, 4), (1, 2), (6, 0).

Question illustration
A
{x | x = –5, –3, 1, 2, 6}
B
{y | y = –9, –6, 0, 2, 4}
C
{x | x = –9, –6, –5, –3, 0, 1, 2, 4, 6}
D
{y | y = –9, –6, –5, –3, 0, 1, 2, 4, 6}
6

On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 3, 3), (1, 4), (1, negative 4), (2, negative 4), (2, negative 2).

Question illustration
A
1 point
B
2 points
C
3 points
D
0 points
7

Which statements apply to the ratio of rice and water? Choose two options.

A
The amount of rice is the dependent value.
B
The amount of water is the dependent value.
C
The amount of rice is the independent value.
D
The amount of water is the independent value.
E
The values cannot be labeled as dependent or independent without a given equation.
8

Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The table shows that the amount of water remaining in the bathtub, y, is a function of the time in minutes, x, that it has been draining.

Question illustration
A
all real numbers such that y ≤ 40
B
all real numbers such that y ≥ 0
C
all real numbers such that 0 ≤ y ≤ 40
D
all real numbers such that 37.75 ≤ y ≤ 40
9

What is the range of the given function?{(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}

A
{x | x = –5, –4, –2, 0, 2}
B
{y | y = –9, –3, 0, 5, 7}
C
{x | x = –9, –5, –4, –3, –2, 0, 2, 5, 7}
D
{y | y = –9, –5, –4, –3, –2, 0, 2, 5, 7}
10

A 2-column table with 4 rows. The first column is labeled x with entries negative 5, 1, 4, 6. The second column is labeled y with entries 9, 0, negative 7, negative 1.

Question illustration
A
{x | x = –5, 1, 4, 6}
B
{y | y = –7, –1, 0, 9}
C
{x | x = –7, –5, –1, 0, 1, 4, 6, 9}
D
{y | y = –7, –5, –1, 0, 1, 4, 6, 9}

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