Ratio Rumble

5.1 Ratios and Rates

100

Billy buys 10 gallons of gasoline, his total is $44.80 find the rate of dollars per gallon.

$4.48 per gallon

200

Jose buys a pack of water bottles, there are 24 bottles in the pack, the cost of the pack is $8 what is the cost per bottle. (Round to nearest hundredth)

$0.33 per bottle

300

1505:2965

301:593

400

An oil spill spreads 32 square meters every 1/4 of an hour how much area does the oil spill cover after 2 hours.

256 square meters

500

A fighter jet travels 1650 Miles per hour, if the fighter jet flies for 3.2 hours, how many kilometers does it travel? (1.6 Kilometers in a mile)

8448 Kilometers

5.2 Proportions

100

Tell whether the ratios form a proportion. 4/10, 1/10

No

200

Fill in the chart to make the graph proportional

X: 4 8 12 16

Y: 3 6 9 ?

12

300

Tell whether the graphs form a proportional relationship. 

X: 2 4 6 8

Y: 1 2 3 4 

Yes

400

Tell whether the ratios form a proportion. 16 Miles in 32 minutes; 64 Miles in 128 minutes 

Yes

500

You pay $2.50 to rent a movie and $0.25 each day until you return the movie, your friend pays $2.35 to rent a different movie, which person pays an amount proportional to the number of days rented.

You friend  pays a proportional amount.

5.3 Writing Proportions

100

test worth 80 points; test score of 87

69.6%

200

Make this into a proportion. 

Test worth 50 points; test score of %90

 X       90

50      100 

300

Solve for X

 x         90

50       100

X=45

400

Tell whether these ratios form a proportion.

56       8
32       4

No

500

Solve for G.

1.4        G 

2.5       25

G=14

5.4 Solving Proportions

100

1/15=x/60

x=4/60 or 4

200

3/12=19/x

x=76 or 19/76

300

A recipe for cookies calls for 2 cups of sugar to make 30 cookies. How many cups of sugar are needed to make 75 cookies?

5 cups of sugar

400

A chemist needs to create a specific solution where the ratio of acid to water is 3:7. The Chemist now has 12 liters of acid and 40 liters of water.

7x=36, x=5.14 liters

500

In a 45-liter mixture, the ratio of sugar solution to the salt solution is 1:2. How many liters of sugar solution must be added to change the ratio to 2:1

45 liters of sugar

Vocab

100

Define the word "Ratio"

A Ratio is a comparison of two quantities using division.

200

Define the word "Rate"

A rate is a ratio of two quantities with different units.

300

Define the word "Unit Rate"

A rate with a denominator of one.

400

Define the word "Proportion"

A proportion is an equation stating that two ratios are equivalent.

500

Define the word "Proportional"

Two quantities that form a proportion are proportional.