Comparing Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

How do you determine who uses fewer gallons of gas per mile?

Back

To determine who uses fewer gallons of gas per mile, compare the gallons used for a given distance for each person. The one with the lower number of gallons used is more efficient.

Front

What does the equation y=12x represent in a real-world context?

Back

In this context, y=12x represents a linear relationship where y is the total cost and x is the number of units purchased, with a constant price of 12 per unit.

Front

How can you compare prices from two different stores?

Back

To compare prices, convert the prices to a common unit or use the same quantity for both stores to see which one offers a better deal.

Front

What does it mean if two stores have the same price for an item?

Back

If two stores have the same price, it means that the cost per unit is identical, and neither store offers a better deal.

Front

How do you find out who spends more per day?

Back

To find out who spends more per day, compare the total amount spent over a specific period divided by the number of days.

Front

What is the significance of rate of change in comparing two quantities?

Back

The rate of change indicates how one quantity changes in relation to another. A higher rate of change means a faster increase or decrease.

Front

How can you determine who is running faster between two students?

Back

To determine who is running faster, compare the distance covered in the same amount of time or the time taken to cover the same distance.

Front

What does it mean if two people have the same rate of change?

Back

If two people have the same rate of change, it means they are changing at the same speed or amount over time.

Front

How do you calculate the cost per unit?

Back

To calculate the cost per unit, divide the total cost by the number of units purchased.