Table to Equation Proportional

The number of trees and the number of apples are given in the table above. Determine which statement below is correct.

• The table is not proportional because the unit rate is not constant.

• The table is proportional and the unit rate is 1/13

• The table is proportional and the unit rate is 13.

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

• 45

• 90

• 135

• 2

What is the constant of proportionality for this table?

• 1

• 6

• 3

• 12

Use yoga classes as your x and cost as your y. Which equation represents this table?

• y=30x

• y=2x

• y=15x

• y=6x

Which of the following is an equation for this relationship?

• y=90x

• y=25x

• y=45x

• y=2x

Is this table proportional?

• Yes

• No

Select all the tables that show a proportional relationship between x and y in the ratio table. There are TWO ANSWERS!

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• 
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Answer explanation

Proportional tables show a consistent constant that each x can be multiplied by to get the corresponding y in the ratio table.

Divide each ratio $\frac{y}{x}$ to see if there is an consistent constant that takes each x to each y in the ratio table.

The two rectangles are scale drawings. What is the measurement of x?

• 21

• 1.25

• 20

• 4

What is the equation for a proportional relationship?

• y=kx

• x=y

• y=k+x

• k=x+y

Which relationship is an example of a proportional function?

• a rental company charges $80 per day and a one-time fee of $24

• a taxi ride costs $2 for the first mile and $4 for each additional mile

• a gym membership cost $30 per month and an additional annual registration fee of $75

• Beverly earns $210 a week for 4 weeks