Unit Rates
Proportional/Non-Proportional
Writing Equations
Solve proportions
Word Problems
100
A school purchases 15 calculators for $112.50. What is the cost of one calculator?
$7.50
100
Is this table proportional?
Time (mins) Distance (ft.)
0 0
2 6
4 12
6 18
Yes
100
Write the Equation for this table:
Time (mins) Distance (ft.)
0 0
2 6
4 12
6 18
y = 3x
100
n/12 = 6/18
n = 4
100
Julie was able to walk 16 miles through the park in 6 hours. How long will it take her to walk 24 miles through the park?
9 hours
200
A runner travels 4.8 miles in 40 minutes. At this rate, how many miles will the runner travel in 75 minutes?
9 miles
200
Is this Graph proportional?
Yes
200
Write the equation for this graph:
y=1x
or
y=x
200
c/28 = 5/7
c = 20
200
The ratio of vanilla pudding to chocolate pudding in a banana split pie is 4 to 3. Olivia has 64 oz of vanilla pudding. How much chocolate pudding does she need?
48 ounces.
300
A train travels 297.5 miles in 3.5 hours. A bus travels 168 miles in 2.4 hours. How many more miles per hour does the train travel than the bus?
15 miles per hour faster
300
Is this equation proportional?
y=3.5x+12
No
300
What is the COP in this equation?
y=3.5x
3.5
300
2/x = 7/9
x = 2.57
300
If there are 1200 calories in an 8 oz piece of cheesecake, how many calories are in a 3 oz piece of cheesecake?
450 calories
400
A store sells 20 notebooks for $43. How many notebooks can be bought for $15?
6
400
Is this graph proportional?
No
Does not pass through the origin
400
If the graph is not proportional, can you write an equation for it?
Not yet. You will learn this in 8th grade. :)
400
30/14 = k/1.54
k = 3.3
400
Annie bought 3 bags of special candy for $1.20. How much do 8 bags of candy cost?
$3.20
500
A baker used ⅚ of a bag of flour to make ⅞ of a batch of cookies. How many bags of flour would the baker need to make 3 ½ batches of cookies?
4
500
What does a line on a graph have to do to be proportional?
Be straight and go through the origin (0,0).
500
Select all of the equations that represent this table:
Cookies (x) 36 12 100
Monsters (y) 18 6 50
a. y = 2x
b. y=1/2x
c. y=0.5x
d. y = 2.0x
e. y=18x
b. and c.
500
380/520 = 760/x
x = 1040
500
The moats separating the people from the animals are 10 m wide for bears and 5 m wide for leopards. If the bears' moats is 4 m deep, how deep should the leopards' moat be?
2 m for the leopards