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 'x' typically represent in a proportional equation?

Back

In a proportional equation, 'x' usually represents the independent variable, such as the number of items purchased.

Front

What does the variable 'y' typically represent in a proportional equation?

Back

In a proportional equation, 'y' usually represents the dependent variable, such as the total cost.

Front

If 6 ice cream cakes cost $48, what is the cost per cake?

Back

The cost per cake is $8, calculated by dividing the total cost by the number of cakes: 48 / 6 = 8.

Front

Write the equation for the total cost of 'x' ice cream cakes if each costs $8.

Back

y = 8x.

Front

If Brooke earned $34 for 4 hours of work, how much does she earn per hour?

Back

She earns $8.50 per hour, calculated by dividing total earnings by hours worked: 34 / 4 = 8.5.

Front

Write the equation for the total earnings 't' based on hours worked 'h' if she earns $8.50 per hour.

Back

t = 8.5h.

Front

What is the formula to find the total cost of 'x' pounds of cheese if it costs $4.25 per pound?

Back

y = 4.25x.

Front

If apples cost $3 per kilogram, how would you express the total cost 'y' for 'x' kilograms?

Back

y = 3x.