AnswersWI-Mathematics Grade 8 AProportional Relationships

Proportional Relationships Answers

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Which did you include in your explanation?

A
Ratio of balloons to tables is 5:1.
B
Constant of variation is 5.
C
Equation is y = 5x.
4

What is the equation that represents the scenario?

A
y = x + 5
B
y = 5x
C
y = 3x
D
y = x + 15
6

Rachel decided to have bouncy balls as a party favor. She determines that her ratio of bouncy balls to guests is 9:3. Explain how to find the number of balls needed for 30 guests.

Answer:

The ratio 9:3 simplifies to 3:1, meaning 3 bouncy balls per guest. Multiply 30 by 3 to find that Rachel needs 90 bouncy balls.

8

Rachel had a popcorn machine at her party. Determine whether the relationship between time and the amount of popcorn popped is directly proportional.

A
Yes, for every 10 minutes there were 4 ounces of popcorn popped.
B
Yes, the input is time and the output is the amount of popcorn popped.
C
No, the graph does not make a straight line.
D
No, the graph does not go through the origin.
9

Which did you include in your explanation?

A
Create a table or graph to represent the data.
B
Use k = 3 to write the equation y = 3x.
C
Substitute 30 in for x to solve for y.
D
She needs 90 bouncy balls for 30 guests.

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