Reading and Math Questions

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, if Eli travels 3 miles in 1 hour, the unit rate is 3 miles per hour.

Front

How do you determine if two quantities are proportional?

Back

Two quantities are proportional if they maintain a constant ratio or rate. This means that as one quantity increases or decreases, the other does so in a consistent manner.

Front

What does the equation p = 3/2m represent?

Back

This equation represents the relationship between profit (p) and the number of milkshakes (m), indicating that for every 2 milkshakes sold, the profit increases by 3 units.

Front

What is the meaning of the equation c = 1/2n?

Back

This equation indicates that the cost (c) of cookies is half the number of cookies (n). For example, if you buy 4 cookies, the cost would be 2.

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where their ratio is constant. For example, if you double one quantity, the other quantity also doubles.

Front

How can you find the weight of 3 potatoes if they maintain a proportional relationship?

Back

If 1 potato weighs 0.1 pounds, then 3 potatoes would weigh 0.3 pounds, maintaining the proportional relationship.

Front

What does it mean if two companies do not have proportional costs?

Back

It means that the cost of one company does not change in a consistent ratio compared to the other company. For example, if one company charges $2 for 1 item and another charges $3 for 1 item, their costs are not proportional.

Front

What is the significance of a graph in understanding unit rates?

Back

A graph can visually represent the relationship between two quantities, making it easier to identify the unit rate by observing the slope or the rise over run.

Front

How do you write an equation to represent a relationship?

Back

To write an equation representing a relationship, identify the variables involved and determine how they relate to each other, then express this relationship mathematically.

Front

What is the formula for calculating unit price?

Back

Unit price is calculated by dividing the total price by the number of units. For example, if 6 cookies cost $3, the unit price is $3/6 = $0.50 per cookie.