Graphs and Proportional Relationships

Does the graph represent a proportional relationship?

• Yes

• No

Identify the constant of proportionality. Write an equation to relate weight, w, to the price, p.

• k = 0.45; p = 0.45w

• k = 45; p = 45w

• k = 0 .22; p = 0.22w

• k = 22; p = 22w

Is this graph proportional?

• Yes

• No

The cost of five pounds of grapefruit is $6.00. The cost per pound of grapefruit remains the same regardless of the quantity purchased. Graph the relationship between y, the total cost of grapefruit purchased, and x, the weight in pounds of the grapefruit purchased.Plot two points on the coordinate grid.

The Bountiful Harvest Festival awarded Kimberly and her dad first prize for their garlic fries last year, so they're making them again this year. The key to their success is using fresh potatoes. It takes Kimberly 4 minutes to peel each potato.

There is a proportional relationship between the number of potatoes Kimberly peels, x, and the amount of time (in minutes) it takes to peel that many potatoes, y.

Graph this relationship. Select two points to draw a line.

A submarine descended 30 feet in 2 minutes. The submarine descended the same depth each minute. Create a graph that represents this slope.

A proportional relationship goes through the (a)   . On a graph, this goes through the point ​ (b)   .

• origin

• y intercept

• (0,0)

• (0, y)

• (x,0)

The Bountiful Harvest Festival awarded Kimberly and her dad first prize for their garlic fries last year, so they're making them again this year. The key to their success is using fresh potatoes.

It takes Kimberly 4 minutes to peel each potato.

There is a proportional relationship between the number Kimberly peels, x, and the amount of time (in minutes) it takes to peel that many potatoes, y.

Graph this relationship.

Select two points to draw a line.