Unit 3 Summative Study Guide

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 find the constant of proportionality (k)?

Back

The constant of proportionality (k) can be found using the formula k = y/x, where y is the dependent variable and x is the independent variable.

Front

What does the unit rate represent in a proportional relationship?

Back

The unit rate represents the amount of one quantity per one unit of another quantity, indicating how much of one variable corresponds to one unit of another.

Front

If 5 beach balls cost $17.50, what is the cost of 1 beach ball?

Back

The cost of 1 beach ball is $3.50, calculated by dividing the total cost by the number of beach balls: $17.50 / 5 = $3.50.

Front

What is the equation of a line that represents a proportional relationship?

Back

The equation of a line that represents a proportional relationship is in the form y = kx, where k is the constant of proportionality.

Front

How can you determine if a graph shows a proportional relationship?

Back

A graph shows a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What is the meaning of the slope in a proportional relationship?

Back

The slope in a proportional relationship represents the constant of proportionality, indicating how much y changes for a unit change in x.

Front

If a model train travels 3 meters in 1 second, what is the distance it travels in 5 seconds?

Back

The distance traveled in 5 seconds is 15 meters, calculated as 3 meters/second * 5 seconds = 15 meters.

Front

What is the formula to calculate the total cost (C) for buying x items at a constant price (p)?

Back

The formula is C = px, where C is the total cost, p is the price per item, and x is the number of items.

Front

What does it mean if a table shows a proportional relationship?

Back

If a table shows a proportional relationship, it means that as one quantity increases, the other quantity increases at a constant rate.