Ratios
Proportions
Equations
Unit Rates
Direct Variation
100
Write the ratio for the given situation as a fraction: Ms. A has 8 girls in her class for every 10 boys.
8/10
100
54/63=n/49
n=42
100
x - 43 = 22
x = 65
100
If you buy 4 candy bars for $5, how much did you pay for one candy bar?
$1.25
100
What is the equation used to represent a proportional relationship? Hint: use all variables
y=kx
200
Write as a ratio: 42 pairs of hi-tops out of 56 pairs of sneakers...
3/4
200
8/30=28/n
n=28
200
x -27 = 14
x = 41
200
There is a pack of 6 rolls of paper towels for $7.02. How much is one roll?
$1.17 per roll
200
What is the constant of the variation in the following direct variation? y = 1.5x
1.5
300
Write in simplest form: In a girls' volleyball match, Team A has a total of 10 girls and Team B has a total of 12 girls. What is the ratio of Team A to Team B?
10/12 or 5/6
300
Tay buys 12 packs of juice boxes that are on sale and pays a total of $ 48.00. How much will Tay pay to buy 8 more packs of juice boxes at the same store?
$32.00
300
(1/9)x = 27
x= 243
300
There is a sale the store where you can get 22 candies for $6. What is the unit rate or the constant of proportionality?
$0.27
300
If x=1.5 and y=6, what is k?
y=kx 6=k(1.5) 6/1.5=k 4=k
400
Write in simplest form: In a girls' volleyball match, Team A has a total of 10 girls and Team B has a total of 12 girls. What is the ratio of Team A to the total number of girls?
10/22 or 5/11
400
Mr. Ramezan runs 8 kilometers in 60 minutes. At this rate, how long would it take her to run 2 kilometers?
15 minutes
400
27.8 + x = 33.73
x = 5.93
400
A marathon is approximately 26 miles. If Joshua ran the marathon in 4 hours at a constant rate, how far did he run per hour?
6.5 miles per hour
400
If our constant of proportionality is 4, write the equation we would use to represent the proportional relationship.
y=4k
500
The ratio of male students to female students in a class at Scotland High School is 3:4. If the number of male students in the club is 18, predict the number of female students?
24
500
Five shovels of sand are mixed with four shovels of gravel to make cement. What is the number of shovels of gravel needed for 45 shovels of sand?
36 shovels of gravel
500
54x = 523.8
9.7
500
If nana's pancake recipe uses 1 cups of milk for every 1.5 cups of flour, how much of each ingredient do you need to make 10 cups of batter?
4 cups of milk and 6 cups of flour
500
Given that the pay you make varies directly with the number of hours you work, and you made $84 when you worked 12 hours. Write the direct variation equation for the situation and determine how much you would get paid if you work 16 hours. (give the equation and the answer)
y = 7x and $112