Rates and Ratios
Unit Rate
Proportions
Slope
Direct Variation
100
What is a comparison of two numbers?
Ratio
100
$2.50 for 5 ounces. How much for 1 ounce?
.50
100
A snail traveled 2 feet in 90 minutes. How far will it travel in 6 hours?
8 ft
100
What is slope?
Change of y over the change of x
100
What is the formula for direct variation?
y=kx
200
What is a ratio that compares two numbers with different units?
Rate
200
183 miles in 3 hours. How many miles per hour?
61
200
x=15
200
Find the slope of the line that passes through the points (-1 , 0) and (3 , 8).
Slope= 2
200
Tell if the following is a direct variation:
y=1/8x
YES
300
What is another way to express the ratio 60 to 25?
3:8
300
297 words in 5.5 minutes. How many words per minute?
54
300
b=2.06
300
What is the slope of the line through (-4, -3) and (4, 3)
Slope= 3/4
300
Tell if the following is a direct variation:
x+y=6
NO
400
An artist mixes 2 parts blue paint and 3 parts yellow paint to get a shade of green. How many parts blue paint should the artist mix with 12 parts yellow paint to get the same shade of green?
8 parts green
400
$9.60 for 8 cans. How much per can?
1.20
400
Gary can hike 2.5 miles in 30 minutes. At this rate, how long will it take him to hike 8 miles?
96 minutes
400
What is the slope that goes through (2,1), (6,3)
Slope=1/2
400
Tell if the following is a direct variation:
x/y=20
YES
500
In his soccer game last night, Chris made 9 saves and let in 3 goals. What was his ratio of total shots to goals?
12:3
500
One bag of pretzels cost $3. Five bags of pretzels cost $10. Which has the lower unit price?
5 bags for $10
500
The money used in Jordan is called the
Dinar. The exchange rate is $3 to 2 Dinars.
Find how many dollars you would receive if
you exchanged 22 Dinars.
$33
500
Find the slope of the following points: (2, 8), (4, 16)
Slope= 4
500
Solve for K:
x=2/5y
K=5/2