Proportional Reasoning

Isaac and his friends took 60 minutes to pitch 4 tents on a camping site.

Find the unit rate in minutes per tent.

• 4 minutes per tent

• 60 minutes per tent

• 15 minutes per tent

• 0.25 minutes per tent

Isaac and his friends took 60 minutes to pitch 4 tents on a camping site.

Find the constant of proportionality if x is tents and y is minutes.

• 15

• 60

• 0.25

• 4

Isaac and his friends took 60 minutes to pitch 4 tents on a camping site.

Write an equation to represent the situation if x is tents and y is minutes.

• y = 0.25x

• y = 0.25 + x

• y = 15x

• y = 15 + x

Use the equation y = 15x, where y is minutes and x is tents, to figure out how long it would take Isaac and his friends to pitch 5 tents.

• 60 minutes

• 75 minutes

• 85 minutes

• 90 minutes

Fiona, a food blogger, posted 216 recipes in 36 weeks.

Find the unit rate of recipes per week.

• 6 recipes per week

• 18 recipes per week

• 36 recipes per week

• 216 recipes per week

Fiona, a food blogger, posted 216 recipes in 36 weeks.

Find the constant of proportionality if weeks is x and recipes is y.

• 0.1666....

• 6

• 36

• 7776

Fiona, a food blogger, posted 216 recipes in 36 weeks.

Write an equation to represent the situation if weeks is x and recipes is y.

• y = 36x

• y = 6x

• x = 36y

• x = 6y

Use the equation y = 6x, where x is the number of weeks and y is the number of recipes, to figure out how many recipes Fiona could post in 15 weeks.

• 2.5 recipes

• 21 recipes

• 615 recipes

• 90 recipes

Jacob walked up 24 steps in 12 seconds.

Write an equation if seconds is x and steps is y.

• y = 0.5x

• y = x + 0.5

• y = 2x

• y = x + 2

Use the equation y = 2x, where seconds is x and steps is y, to figure out how many steps Jacob could climb in 9 seconds.

• 18 steps

• 11 steps

• 7 steps

• 4.5 steps