Study Guide and Review
Express each ratio as a fraction in simplest form.
9. 10 girls out of 24 students
SOLUTION: 10. 6 red cars to 4 blue cars
SOLUTION: 11. 10 yards to 8 inches
SOLUTION: Convert 10 yards to inches. Three are 36 inches in 1 yard.
12. 18 ounces to 3 cups
SOLUTION: Convert 3 cups to ounces. Three are 8 ounces in 1 cup.
13. BASEBALL Jean got 12 hits out of 16 times at bat. Express this rate as a fraction in simplest form. Explain its
meaning.
SOLUTION: For every 4 times at bat, Jean got 3 hits or on
of his at bats, he got a hit.
Express each rate as a unit rate. Round to the nearest tenth, if necessary.
14. $25.97
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every 4 times
bat, Jean got 3 hits or on
of his at bats, he got a hit.
Express each rate as a unit rate. Round to the nearest tenth, if necessary.
14. $25.97 for 8 boxes
SOLUTION: The unit rate is $3.25 per box.
15. 400 meters in 5 minutes
SOLUTION: The unit rate is 80 meters per minute.
16. $175 for 4 concert tickets
SOLUTION: The unit rate is $43.75 per ticket.
17. 125 miles in 200 minutes
SOLUTION: The unit rate is 0.6 mile per minute.
18. SHOPPING An eight pack of juice boxes costs $4.79, and a twelve pack of juice boxes costs $6.59. Which is a
better buy? Explain.
SOLUTION: The eight pack costs $0.60 per juice box.
The twelve pack of juice boxes costs $0.55 per juice box.
The twelve pack is a better buy because the cost per juice box is less.
Determine whether the set of numbers in each table is proportional. Explain.
27. SOLUTION: Write the rate of boxes to pens in simplest form.
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The twelve pack of juice boxes costs $0.55 per juice box.
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The twelve pack is a better buy because the cost per juice box is less.
Determine whether the set of numbers in each table is proportional. Explain.
27. SOLUTION: Write the rate of boxes to pens in simplest form.
Each rate is equal to
. So, the number of boxes is proportional to the number of pens.
28. SOLUTION: Write the rate of number of people to brownies eaten in simplest form.
The rates are not equal. So, the number of people is not proportional to the brownies eaten.
29. FESTIVALS A customer at the ring toss booth gets 8 rings for $2. Write an equation relating the cost to the
number of rings. At this same rate, how much would a customer pay for 11 rings? for 20 rings?
SOLUTION: Find the constant of proportionality.
The cost is $0.25 times the number of rings, r. The equation is c = 0.25r.
To find the cost of 11 rings, substitute 11 for r.
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11 rings cost $2.75.
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The rates are not equal. So, the number of people is not proportional to the brownies eaten.
29. FESTIVALS A customer at the ring toss booth gets 8 rings for $2. Write an equation relating the cost to the
number of rings. At this same rate, how much would a customer pay for 11 rings? for 20 rings?
SOLUTION: Find the constant of proportionality.
The cost is $0.25 times the number of rings, r. The equation is c = 0.25r.
To find the cost of 11 rings, substitute 11 for r.
11 rings cost $2.75.
To find the cost of 20 rings, substitute 20 for r.
20 rings cost $5.
Solve each proportion.
30. SOLUTION: 31. SOLUTION: 32. eSolutions Manual - Powered by Cognero
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32. SOLUTION: 33. SOLUTION: 34. REAL ESTATE A homeowner whose house is assessed for $120,000 pays $1800 in taxes. At the same rate, what
is the tax on a house assessed at $135,000?
SOLUTION: Let t represent the tax on a house assessed at $135,000.
The tax on a house assessed at $135,000 is $2025.
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