Math 180 Proportional and Linear Relationships B2

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 cost of multiple items in a proportional relationship?

Back

Multiply the cost of one item by the number of items.

Front

What does the equation y = kx represent in a proportional relationship?

Back

In this equation, y is the dependent variable, x is the independent variable, and k is the constant of proportionality.

Front

If 1 can of spray paint costs $8.27, how much do 11 cans cost?

Back

11 cans cost $91.97 (8.27 * 11).

Front

What is the meaning of the slope in a linear equation?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Front

How do you calculate the total fabric needed for multiple cushions if y = 0.75x?

Back

Substitute the number of cushions (x) into the equation to find y.

Front

What is the equation for the number of photos taken over time if y = 25x?

Back

This means Jon takes 25 photos for every second.

Front

What does it mean if two quantities are in a proportional relationship?

Back

It means that as one quantity increases, the other quantity increases at a constant rate.

Front

If the length of a photo is 1.2 times its width, what is the equation representing this relationship?

Back

The equation is y = 1.2x, where y is the length and x is the width.

Front

How do you determine the total gallons of paint used if given a proportional relationship?

Back

Use the constant ratio to find the total based on the number of gallons per unit.