Write and solve equations for proportional relationships

Saul measures the lengths of some objects in both yards and feet. There is a proportional relationship between the number of yards, x, and the number of feet, y. The equation that models this relationship is y=3x. If an object is 3 yards long, how long is it in feet?

• 6

• 12

• 15

• 9

Tags

CCSS.7.RP.A.2C

Saul measures the lengths of some objects in both yards and feet. There is a proportional relationship between the number of yards, x, and the number of feet, y. The equation that models this relationship is y=3x. If an object is 12 feet long, how long is it in yards?

• 6

• 12

• 9

• 4

Tags

CCSS.6.EE.B.5

CCSS.6.EE.C.9

CCSS.6.RP.A.3

Ever since Mary was a small child, her favorite food has always been carrots. She likes them so much she wants to plant a garden in her backyard just to grow carrots. There is a proportional relationship between the size of Mary's garden (in square feet), x, and the number of carrots she can grow at a time, y. If her garden is 1 square foot, she can grow 5 carrots at a time. Write the equation for the relationship between x and y.

• y=1/2x

• y=5x

• y=1/5x

• y=x

Tags

CCSS.7.RP.A.2C

Ever since Mary was a small child, her favorite food has always been carrots. She likes them so much she wants to plant a garden in her backyard just to grow carrots. There is a proportional relationship between the size of Mary's garden (in square feet), x, and the number of carrots she can grow at a time, y. The equation that models this relationship is y=5x. How many carrots can Mary grow at a time if her garden is 3 square feet?

• 5

• 15

• 10

• 20

Tags

CCSS.7.RP.A.2C

Ever since Mary was a small child, her favorite food has always been carrots. She likes them so much she wants to plant a garden in her backyard just to grow carrots. There is a proportional relationship between the size of Mary's garden (in square feet), x, and the number of carrots she can grow at a time, y. The equation that models this relationship is y=5x. What size garden does Mary need to grow 20 carrots at a time?

• 5

• 20

• 4

• 22

Tags

CCSS.7.RP.A.2C

Sara and her dad share an intense love of baseball. Every weekend, they go to the batting cages to practice hitting. Sara's dad buys tokens for her to use in the batting cage. There is a proportional relationship between the number of tokens Sara uses, x, and the number of pitches thrown by the pitching machine, y. If Sara uses 1 token in the batting cage, the pitching machine throws 6 pitches.

Write the equation for the relationship between x and y.

• y=6

• y=x

• y=6x

• y=1

Tags

CCSS.7.RP.A.2C

Sara and her dad share an intense love of baseball. Every weekend, they go to the batting cages to practice hitting. Sara's dad buys tokens for her to use in the batting cage. There is a proportional relationship between the number of tokens Sara uses, x, and the number of pitches thrown by the pitching machine, y. If Sara uses 1 token in the batting cage, the pitching machine throws 6 pitches. The equation that models this relationship is y=6x.

How many tokens does Riley use to get 12 pitches?

• 6

• 8

• 2

• 1

Tags

CCSS.7.RP.A.2C

Sara and her dad share an intense love of baseball. Every weekend, they go to the batting cages to practice hitting. Sara's dad buys tokens for her to use in the batting cage. There is a proportional relationship between the number of tokens Sara uses, x, and the number of pitches thrown by the pitching machine, y. If Sara uses 1 token in the batting cage, the pitching machine throws 6 pitches. The equation that models this relationship is y=6x. How many pitches does the machine throw if Riley uses 3 tokens?

• 6

• 18

• 2

• 1

Tags

CCSS.7.RP.A.2C

While relaxing on his front porch, John notices a garden snail crawling on the sidewalk. John is amazed at how slowly the snail moves, so he starts timing it. There is a proportional relationship between the amount of time (in minutes) that John spends timing the snail, x, and the distance (in feet) that the snail moves, y. The snail moves only 8 feet in 4 minutes. Write the equation for the relationship between x and y.

• y=x

• y=8x

• y=4x

• y=2x

Tags

CCSS.7.RP.A.2C

Ever since Mary was a small child, her favorite food has always been carrots. She likes them so much she wants to plant a garden in her backyard just to grow carrots. There is a proportional relationship between the size of Mary's garden (in square feet), x, and the number of carrots she can grow at a time, y. The equation that models this relationship is y=5x. How many carrots can Mary grow at a time if her garden is 3 square feet?

• 5

• 15

• 10

• 20

Tags

CCSS.7.RP.A.2C