RP.3 Study Guide

Front

What is the formula to calculate the number of defective parts produced based on the total parts produced?

Back

Defective Parts = Total Parts Produced x Defect Rate.

Front

If a car travels 47 miles on 2 gallons of gas, how do you find the distance it can travel on a different amount of gas?

Back

Use the unit rate: Distance per gallon = 47 miles / 2 gallons. Then multiply by the number of gallons.

Front

How deep will the soil be wet after 1 hour if it is wet to a depth of 3 inches after 15 minutes?

Back

If it takes 15 minutes to wet 3 inches, then in 60 minutes (4 times longer), it will be wet to a depth of 3 inches x 4 = 12 inches.

Front

What is the perimeter of a rectangular path if it takes 3 minutes to walk it?

Back

Perimeter = Distance walked in 3 minutes. To find distance in 10 minutes, multiply the distance by (10/3).

Front

If a small wheel completes 5 rotations for every 3 rotations of a large wheel, how do you calculate the small wheel's rotations based on the large wheel's rotations?

Back

Use the ratio: Small Wheel Rotations = (5/3) x Large Wheel Rotations.

Front

What is a unit rate and how is it used in problem-solving?

Back

A unit rate is a comparison of two different quantities when they are combined together. It helps to simplify problems involving ratios.

Front

How do you determine the total distance traveled if you know the time and speed?

Back

Distance = Speed x Time.

Front

What is the relationship between the number of parts produced and the number of defective parts?

Back

The relationship is often linear, where an increase in total parts produced can lead to a proportional increase in defective parts.

Front

How can you find the total time taken if you know the rate and distance?

Back

Time = Distance / Rate.

Front

What is the concept of proportionality in mathematics?

Back

Proportionality means that two quantities increase or decrease at the same rate.