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• equivalent ratios
• proportion
• cross products
• constant of proportionality
• Use proportions to solve problems.
Write and Solve a Proportion
CLOTHING Melvin can decorate 8 t-shirts in 3 hours. At this rate, write and solve a proportion to find the time it will take him to decorate 20 t-shirts.
Write a proportion. Let t represent the time in hours.
shirts
timetime
shirts
Write and Solve a Proportion
Write the proportion.
Find the cross products.
Multiply.
Divide each side by 8.
Simplify.
Answer: It will take Melvin 7.5 hours to decorate 20 t-shirts.
A. A
B. B
C. C
D. D A B C D
0% 0%0%0%
A. 6.5 hours
B. 7 hours
C. 7.2 hours
D. 7.6 hours
CLOTHING Adrian can decorate 5 t-shirts in 2 hours. At this rate, write and solve a proportion to find the time it will take her to decorate 18 t-shirts.
COOKING A recipe serves 10 people and calls for 3 cups of flour. If you want to make the recipe for 15 people, how many cups of flour should you use?
Write a proportion. Let c represent the number of cups of flour needed to serve 15 people.
cups of flour
total people servedtotal people served
cups of flour
Answer: You will need 4.5 cups of flour to make the recipe for 15 people.
Find the cross products.
Multiply.
Divide each side by 10.
Simplify.
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
A. 6.5 cups
B. 6.7 cups
C. 7.2 cups
D. 7.5 cups
COOKING A recipe serves 12 people and calls for 5 cups of sugar. If you want to make the recipe for 18 people, how many cups of sugar should you use?
Write and Use an Equation
FOOD Haley bought 4 pounds of tomatoes for $11.96. Write an equation relating the cost to the number of pounds of tomatoes. How much would Haley pay for 6 pounds at this same rate? for 10 pounds?
Find the constant of proportionality between cost and pounds.
The cost is $2.99 per pound.
Write and Use an Equation
The cost is $2.99 times the number of pounds.Words
Let c represent the cost.Let p represent the number of pounds.
c = 2.99 ● p
Variable
Equation
Use this same equation to find the cost for 6 and 10 pounds of tomatoes sold at the same rate.
Write and Use an Equation
Answer: The cost for 6 pounds of tomatoes is $17.94 and for 10 pounds is $29.90.
Write the equation.
Replace p with the number of pounds.
Multiply.
1. A
2. B
3. C
4. D
0%0%0%0%
A B C D
A. $18.95
B. $19.20
C. $19.85
D. $20.15
FOOD Cameron bought 3 pounds of apples for $11.37. Write an equation relating the cost to the number of pounds of apples. How much would Cameron pay for 5 pounds at this same rate?
• TEETH: For every 6 people who say they floss daily, there are 14 people who say they do not. Write and Solve a proportion to determine out of 50 people how many you would expect to say they do floss daily.
• ILLNESS: For every person who actually has the flu, there are 5 people who have the same symptoms but with only a cold. If a doctor sees 60 patients, write and solve a proportion to determine how many of these you would expect to only have a cold.
• PHOTOGRAPHY: It takes 3 minutes to print out 4 digital photos. Write an equation relating the number of photos, n, to the number of minutes, m.
• At this rate, how long will it take to print 10 photos?