5.1 Ratios and Rates
Billy buys 10 gallons of gasoline, his total is $44.80 find the rate of dollars per gallon.
$4.48 per gallon
Tell whether the ratios form a proportion. 4/10, 1/10
No
test worth 80 points; test score of 87
69.6%
1/15=x/60
x=4/60 or 4
Define the word "Ratio"
A Ratio is a comparison of two quantities using division.
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
Fill in the chart to make the graph proportional
X: 4 8 12 16
Y: 3 6 9 ?
12
Make this into a proportion.
Test worth 50 points; test score of %90
X 90
50 100
3/12=19/x
x=76 or 19/76
Define the word "Rate"
A rate is a ratio of two quantities with different units.
1505:2965
301:593
Tell whether the graphs form a proportional relationship.
X: 2 4 6 8
Y: 1 2 3 4
Yes
Solve for X
x 90
50 100
X=45
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
Define the word "Unit Rate"
A rate with a denominator of one.
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
Tell whether the ratios form a proportion. 16 Miles in 32 minutes; 64 Miles in 128 minutes
Yes
Tell whether these ratios form a proportion.
56 8No
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
Define the word "Proportion"
A proportion is an equation stating that two ratios are equivalent.
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
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.
Solve for G.
1.4 G
2.5 25
G=14
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
Define the word "Proportional"
Two quantities that form a proportion are proportional.