Exploring Direct Variation: Solve and Graph Relationships

A car travels at a constant speed. If it travels 60 miles in 1 hour, how far will it travel in 3 hours? Solve the direct variation equation and graph the relationship.

• 120 miles

• 90 miles

• 240 miles

• 180 miles

A recipe requires 2 cups of flour for every 3 batches of cookies. How many cups of flour are needed for 9 batches? Write the direct variation equation and graph it.

• 8 cups of flour

• 10 cups of flour

• 4 cups of flour

• 6 cups of flour

The cost of apples is directly proportional to the weight. If 5 pounds of apples cost $10, how much will 15 pounds cost? Solve the problem and represent it on a graph.

• $15

• $30

• $20

• $25

A painter charges $200 for 4 hours of work. How much will he charge for 10 hours? Create the direct variation equation and graph the relationship.

• $500

• $300

• $400

• $600

The number of pages read is directly proportional to the time spent reading. If a student reads 30 pages in 1 hour, how many pages will they read in 2.5 hours? Solve and graph the direct variation.

• 60 pages

• 90 pages

• 75 pages

• 100 pages

A factory produces 100 toys in 2 hours. How many toys will it produce in 5 hours? Write the direct variation equation and graph the relationship.

• 150 toys

• 250 toys

• 300 toys

• 200 toys

The distance a cyclist travels is directly proportional to the time spent cycling. If they travel 12 miles in 1 hour, how far will they go in 4 hours? Solve and graph the direct variation.

• 36 miles

• 24 miles

• 48 miles

• 60 miles

A gardener plants 3 rows of flowers in 1 hour. How many rows can he plant in 5 hours? Write the direct variation equation and graph it.

• 5 rows

• 20 rows

• 15 rows

• 10 rows

The amount of water a plant needs is directly proportional to its size. If a small plant needs 2 cups of water, how much will a medium plant need if it is twice the size? Solve and graph the direct variation.

• 4 cups

• 1 cup

• 3 cups

• 6 cups

A photographer charges $150 for 3 hours of shooting. How much will he charge for 8 hours? Create the direct variation equation and graph the relationship.

• $400

• $500

• $250

• $300