Topic 2 Test Review - Proportions

Which best describes the equation?
y = 75x

• Proportional

• Nonproportional

Answer explanation

The equation y = 75x is proportional because the value of y is directly proportional to the value of x, with a constant ratio of 75.

Does the equation show a proportional relationship?

• Yes

• No

Answer explanation

No, the equation does not show a proportional relationship.

Which best describes this equation?
y= 3.75x + 2

• Proportional 

• Non-proportional

Answer explanation

The equation y=3.75x + 2 represents a non-proportional relationship between y and x. As the value of x increases, the value of y does not increase or decrease at a constant rate. Instead, it increases by 3.75 units for every 1 unit increase in x, making it non-proportional.

Does this graph represent a proportional relationship?

• Yes, because the line is pretty.

• No, because the line goes through the origin.

• Yes because the line goes through the origin.

• No, because the graph is non-proportional.

Answer explanation

Yes, the graph represents a proportional relationship because the line goes through the origin.

Which best describes the table?

• proportional

• non-proportional

Answer explanation

The table is non-proportional because it does not maintain a constant ratio between the values in the columns.

What is the constant of proportionality (in miles per hour) based on the table?

• 45

• 90

• 135

• 2

Answer explanation

The constant of proportionality is 45 miles per hour, which is the correct choice.

Is the graph proportional or nonproportional?

• proportional

• non proportional

Answer explanation

The graph is nonproportional because the relationship between the variables is not consistent.

• Proportional, the rate of change is 5/3
• Non Proportional
• Proportional, the rate of change is 3/5
• Proportional, you add 2

Find the unit rate:  $3.60 for 3 pounds of apples. How much does it cost for 1 pound of apples?

• $1.00 per pound

• $3.60 per pound

• $1.20 per pound

• $1.10 per pound

Answer explanation

To find the unit rate, divide the total cost ($3.60) by the number of pounds (3). The cost per pound is $1.20, which is the correct choice.

Does the table show a proportional relationship?

• Yes

• No

Answer explanation

Yes, the table shows a proportional relationship because the values in the table increase or decrease at a constant rate.