Proportional Relationships

Which situation is best described by the graph shown?

• JJ purchases chips for $0.75 per bag.

• Mark buys a pack of gum for $1.50 each.

• Paula pays $0.50 per ticket at the fair.

• Franco purchases flowers for #$3.00 each.

Find the constant of proportionality in the graph below.

• 9

• 4.5

• 3

• 1.5

Jeremy can row 38 of a mile in 41 of an hour.

What is the unit rate that describes the miles per hour?

• 1½ miles per hour

• ¾ miles per hour

• 1½ hours per mile

• ¾ hours per mile

A bag of popcorn contains 483 calories and serves 3.5 people. How many calories are in each serving?

An app developer projects that he will earn $230.00 for every 100 apps downloaded. Which of the following equations can be used to represent the proportional relationship between the number of apps, x, and the total earnings, y.

• y = 100x + 230

• y = 230x + 100

• x = 2.30y

• y = 2.30x

Based on the information in the table, what is the constant of proportionality?

The graph below shows the relationship between the amount of money in Sarah’s savings account over a period of time. Which of the following statements is NOT true about the relationship?

• After 5 weeks, Sarah has $100 in her account.

• If Sarah has a balance of $60, then 7 weeks have passed.

• The relationship is proportional.

• The situation can be represented by the equation

  y = 200 – 20x.

The table below shows the relationship between the number of miles traveled, x, and the number of gallons of gas used, y.

• y= 1/35x

• y= 35x

• 35= 1x

• y= 3.5x

The graph shows the amount of money that Terrance saves each week from his lawn moving job. Which point (x,y) best represents the unit rate?

Which of the following situations represents a proportional relationship?

• A cheeseburger is $7.95 plus $1.00 for each additional topping.

• A pool fills at a rate of 90 gallons per hour.

• A health club charges a $40.00 membership fee plus $25.00 per month.

• A bank account begins with $350.00 and gains $30.00 per month.