5.1 Ratios and Unit Rate
5.2 Proportions
5.3 Solving Proportions
5.4 C.O.P.
5.5 Slope
100
Write the ratio as a fraction in simplest form.
12 to 15
4/5
100
Tell whether the ratios form a proportion.
35/16,5/2
No, they are not proportional.
100
Use the table to write a proportion.
100
Determine the constant of proportionality for the table below.
C.O.P.=k=168 calories/1 cupcake
100
Find the slope of the line
2/3
200
Find the unit rate.
18 bowlers on 6 lanes.
3 bowlers on 1 lane
200
Tell whether the two rates form a proportion.
8 feet in 15 seconds; 16 feet in 40 seconds.
No, they are not proportional
200
The county requires 2 teachers for every 45 students. Write a proportion that gives the number t of teachers needed for 315 students.
200
What is the constant of proportionality in the following equation?
y=-220x
-220
200
Find the slope of the two points.
(-1,-2), (2,4)
2
300
What is the unit cost?
$1.50 per 1 scoop
300
You can buy 4 tickets for $75 or 5 tickets for $94. Are the costs proportional? If not, rewrite one of the rates so the costs are proportional.
No, they are not proportional.
Example: 5 tickets for $93.75 or 4 tickets for $75.20
300
Solve the proportion.
x=15
300
Determine the constant of proportionality for the graph below.
C.O.P.=k=8 miles/1 hour
300
Which line has the greater slope?
y=3x
The steeper the line, the greater the slope
400
Which has the most protein per calorie? 
Energy Bar B with 0.0923 grams of protein per calorie.
400
One mixture contains 6 fluid ounces of water and 10 fluid ounces of vinegar. A second mixture contains 9 fluid ounces of water and 12 fluid ounces of vinegar. Are the mixtures proportional? If not, how much water or vinegar would you add to the second mixture so that they are proportional?
No, they are not proportional.
3 fluid ounces of vinegar
400
A recipe calls for 3/4 cup of sugar and 1/2 cup of brown sugar. You are
reducing the recipe. You will use 1/6 cup of brown sugar. How much sugar
will you use?
1/4 cups
400
Max earned $570 for working 5 days at the local
car wash. What is the constant of proportionality that relates the money earned, y, to the number of days worked, x?
C.O.P.=k=$114/1 day
400
Find the slope of the line through calculating.
5/2
500
There are 16 bacteria in a beaker. Four hours later there are 228 bacteria in the beaker. What is the change in the number of bacteria per hour?
53 bacteria every hour
500
The warehouse can purchase 5 pairs of sandals for $65.
The warehouse can also purchase 8 pairs of sandals for $96.
The warehouse can also purchase 10 pairs of sandals for $120.
Are these costs proportional?
No, these cost rates are not proportional.
500
Describe and correct the error in writing the proportion.
The ratio of the length and height for each day should be set equal.
500
The total cost of shirts, y, is directly proportional to the number of shirts sold, x. What is the constant of proportionality represented in the graph?
C.O.P=k=$7.50/1 shirt
500
Find the slope of the line from the two points.
(-8,-10),(-2,-2.5)
5/4