Ratios and Rates
Proportions
Writing Proportions
Solving Proportions
Slope
100
Write the ratio as a fraction in the simplest form.
25 to 45
5/9
100
Tell whether the ratios form a proportion:
3/4 and 16/24
No, they do not form a proportion.
100
A girl scout troop uses 14 flashlight batteries on a three-night camping trip. If they are planning a seven-night trip, write a proportion to determine how many batteries they should bring? *do not solve*
14/3 = x/7
100
Solve the proportion:
9/5 = x/20
z = 36
100
How do you find slope from a graph?
Rise over Run
200
Find the unit rate: 256 miles per 8 gallons
32 miles per gallon
200
Tell whether the two rates form a proportion: 7 inches in 9 hours; 42 inches in 54 hours.
Yes, the two rates form a proportion.
200
A bag of 8 apples costs $1.50 at Sam’s Orchard. At this same rate, write a proportion to determine how much 18 apples would cost. **Do not solve!!
1.50/8 = 18/x
200
Use the Cross Product Property to solve the proportion:
10/7 = 8/k
k = 5.6
200
Find the slope of a line that goes through the points (-1,2) and (3,5).
The slope is
3/4
300
Find the unit rate: $4.80 for 6 cans
80 cents for 1 can
300
Tell whether the ratios form a proportion: 2 to 4; 11 to 11/2
No, the ratios do not form a proportion.
300
You can buy 3 shirts for $24. Write a proportion that gives the cost c of buying 7 shirts. *do not solve*
$24/3 shirts = c/7 shirts
300
48 pens are packaged in 4 boxes. How many pens are packaged in 9 boxes?
108 pens are packaged in 9 boxes.
300
Find the slope of the line that goes through the points (-1,4) and (2,0).
The slope is
-4/3
400
In 2007, the U.S. population was 302 million people. In 2012, it was 314 million. What was the rate of population change per year?
2,400,000 people per year
400
You can do 90 sit-ups in 2 minutes. Your friend can do 135 sit-ups in 3 minutes. Do these rates form a proportion? Explain.
Yes, the rates form a proportion.
400
Will’s Widget Works can produce 2½ tons of widgets in an 8 hour work day. Write a proportion to determine how many tons of widgets would be produced between 9 am and noon? ** Do not solve!!!
2.5/8 = x/3
400
It costs $10.50 for 3 medium pizzas. How much does it cost to buy 10 medium pizzas?
It will cost $35 for 10 medium pizzas.
400
What is the slope of a line that passes through the points (2,0) and (5,0)? Explain.
slope = 0
500
It costs $68 for 16 square feet of flooring. What is the unit rate?
$4.25 per square foot.
500
A specific shade of red nail polish requires 7 parts red to 2 parts yellow. A mixture contains 35 quarts of red and 8 quarts of yellow. Will the mixture be the correct shade of red?
No.
7/2 != 35/8
500
Denise’s rabbit can eat 70 pounds of food in 80 days. Write a proportion to determine how long it will take the rabbit to eat 87.5 pounds of food?
70/80 = 87.5/x
500
There are 144 people in the audience. The ratio of adults to children is 5 to 3. How many are adults?
90 adults are in the audience.
500
m =
-3/2