Writing Proportional Equations from Tables and Situations

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 write a proportional equation from a table?

Back

Identify the constant ratio between the two quantities and express it in the form y = kx, where k is the constant of proportionality.

Front

What does the variable 'm' represent in the equation m = 28g?

Back

In this equation, 'm' represents the miles driven, and 'g' represents the number of gallons of gas.

Front

What is the constant of proportionality in the equation y = 5x?

Back

The constant of proportionality is 5, meaning for every unit increase in x, y increases by 5.

Front

How can you determine the total cost of fabric using the equation C = 1.15f?

Back

In this equation, C represents the total cost, and f represents the amount of fabric. The cost per unit of fabric is $1.15.

Front

If Besian bought 6 ice cream cakes for $48, how much does each cake cost?

Back

Each ice cream cake costs $8, as represented by the equation y = 8x, where y is the total cost and x is the number of cakes.

Front

What does the equation y = 3x represent in the context of buying apples?

Back

This equation represents that the total cost y of x kilograms of apples is $3 per kilogram.

Front

What is the first step in writing a proportional equation from a word problem?

Back

Identify the two quantities involved and determine their relationship.

Front

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

Back

The slope represents the constant of proportionality, indicating how much one quantity changes in relation to another.

Front

How do you identify a proportional relationship from a graph?

Back

A proportional relationship will show a straight line that passes through the origin (0,0).