MA7 Equations for Proportional Relationships Practice

Front

Does this equation represent a proportional relationship?

Back

No, a proportional relationship must pass through the origin and have a constant ratio.

Front

Cheddar Cheese costs $4.25 per pound. Which equation best represents y, the total cost of x pounds of cheddar cheese?

Back

y = 4.25x, where y is the total cost and x is the number of pounds.

Front

Write an equation for this relationship: C = 18d, C = 18.50d, C = 22.50d, C = 22d.

Back

C = 18.50d, where C is the cost and d is the number of items.

Front

Write an equation to represent the proportional relationship in this table: d = 1/9h, d = 9h, d = 8h.

Back

d = 9h, where d is the distance and h is the height.

Front

Write an equation that represents the relationship between the weight (x) and the cost (y): y = 1/2 x, y = 1/4 x, y = 2x, y = 4x.

Back

y = 4x, where y is the cost and x is the weight.

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 is constant.

Front

What does the slope represent in a proportional relationship?

Back

The slope represents the constant rate of change between the two quantities.

Front

If y = kx, what does k represent?

Back

k represents the constant of proportionality, indicating how much y changes for each unit change in x.

Front

How do you determine if a set of points represents a proportional relationship?

Back

Check if the ratio of y to x is constant for all points.

Front

What is the equation of a line that passes through the origin?

Back

The equation is y = mx, where m is the slope.