Rates, Ratios, and Proportions Problems

This lesson covers the use of ratios and rates to solve problems, focusing on comparing lemonade recipes, analyzing concentrate per cup, and using rates to make predictions. It includes examples like fruit and nut bar recipes and independent practice problems. The lesson concludes with a summary and a preview of the next module.

What is the ratio of lemonade concentrate to water in Anna's recipe?

• 2:3

• 5:3

• 3:5

• 3:2

If Bailey's recipe is tripled, how many cups of concentrate will be used?

• 15

• 12

• 9

• 6

How much concentrate is in each cup of Anna's lemonade?

• 3/8 cup

• 2/3 cup

• 3/5 cup

• 2/5 cup

What is the unit rate of Janet's driving speed?

• 56 miles per hour

• 112 miles per hour

• 60 miles per hour

• 50 miles per hour

How many math problems can Lena solve in 75 minutes?

• 15

• 12

• 10

• 8

How many pounds of apples can you buy for $9 if they cost $3 for 2 pounds?

• 4 pounds

• 6 pounds

• 5 pounds

• 7 pounds

Which tree grows faster, the California fan palm or the queen palm?

• Both grow at the same rate

• Queen palm

• Cannot be determined

• California fan palm

If Theo drives 228 miles in 4 hours, what is his average speed?

• 57 mph

• 62 mph

• 60 mph

• 55 mph

What is the cost per yard if fabric costs $15 for 2 yards?

• $5.00

• $10.00

• $12.50

• $7.50

Under what condition should Paul choose the hourly rate of $12.50 over a flat $50 payment?

• If the job takes more than 4 hours

• If the job takes less than 4 hours

• If the job takes exactly 4 hours

• If the job takes 3 hours