Proportional Relationship Equations

• yes, k=4

• yes, k =1/4

• yes, k=5

• no

• k

• y=0.41x

• 0.41

• 0.41x

Aniyah's car can travel 228 miles on 6 gallons of gas. Which is the equation to represent the distance traveled y, in terms of the number of gallons x.

• x=38y

• x=0.03y

• y=0.03x

• y=38x

At the local dairy farm, Kareem buys a 32-oz container of yogurt for $2.56. Jonah buys a 6-oz container of yogurt for $0.48. Are the cost, y, in dollars and the amount of yogurt, x, proportional?

• yes- proportional

• no- not proportional

Does this equation represent a proportional relationship?

• Yes

• No

Proportional or Not Proportional?

• Proportional

• Not Proportional

Which equation shows a proportional relationship between x and y? (a)  

• y = 3x + 9

• y = 1/2x

• y = 1/2x - 2

• y = x2

Does this equation represent a proportional relationship?

• Yes

• No

Does each equation represent a proportional relationship? Choose Yes or No.

y = 13x - 7 ​ (a)  

y = 13x ​ (b)  

• no

• yes

Answer explanation

The first equation y = 13x - 7 does not represent a proportional relationship because it has a y-intercept that is not zero. A proportional relationship must have a y-intercept of zero. The second equation y = 13x does represent a proportional relationship because it has a y-intercept of zero.

Tags

CCSS.MATH.CONTENT.7.RP.A.2.b

CCSS.MATH.CONTENT.7.RP.A.2.c

Two quantities are in a ​ (a)   if the two quantities vary and have a constant ratio between them.

• proportional relationship

• proportional

• unit rate

• nonproportional

• constant of proportionality