Unit Rates
Proportional or Non-proportional
Solving Complex Fractions and Proportions
Scale Drawing
Direct Variation
100
What is the unit rate if there are 66 people in 3 classes?
22/1, 22 people per class.
100
Janet makes $12 each hour she works.
Proportional
100
Solve: 5 = 20 10 x
x=40
100
On a map, ever 2 inches represents 8 miles. What is the scale of this map?
2 inches = 8 miles
100
The number of items purchased varies directly with the cost of the item. Does this situation have direct variation?
Yes, key word: varies directly.
200
What is the unit rate of $17.40 for 12 bags of candy.
$1.45/1, $1.45 per bag of candy
200
A pumpkin farm charges a $10 entrance fee, and $5 per pumpkin picked.
Non-proportional
200
1/2 5/6
3/5
200
On a map, the scale is 2 inches = 35 miles. If two cities are 4 inches apart on the map, how far are they in real life?
70 miles apart
200
Does the following function have direct variation? x 25 30 35 40 y 100 120 140 160
Yes
300
Bike riders were 1/3 finished with their ride when they reached the 6 mile mark. How long is their total ride?
18 miles
300
Are the following rates proportional or non-proportional? 1 2 3 4 3 4 5 6
Non-proportional
300
Simplify using complex fractions: 5 1/3 %
8/150
300
Mary drew a picture that is 5 inches wide by 8 inches long. She wants enlarge her picture to triple the size. What are the new dimensions of her picture and what is the scale factor?
15 inches wide by 24 inches long. The scale factor is 3.
300
What is the constant of variation of the following function? x 15 30 45 60 y 5 10 15 20
1/3
400
Kim can run 16.5 miles in 3 hours. Kathryn can run 29 miles in 4 hours. Who runs faster per hour?
Kathryn runs 7.25 miles per hour.
400
Fred is ordering pizza pies for a family reunion. For orders smaller than 10 pies, there is a $5 delivery fee. Is the cost proportional to the number of pizzas ordered?
No because there is a delivery fee for an order smaller than 10 pies.
400
Solve: 30 = 55 42 x
x = 77
400
The scale factor of two similar figures is 2/3. What is the ratio of the perimeters of the figures?
2/3
400
The price of a bike rental varies directly with the hours the bike is rented. If it costs $50 for 4 hours and $75 dollars for 6 hours, how much does it cost for one hour?
$12.50 an hour.
500
Which size yogurt show in the table has the lowest price per ounce? Size Cost 6 $0.89 8 $1.04 10 $1.69
The 8 oz yogurt is the cheapest because it costs $0.13 per ounce.
500
Corey had $180 in his bank account. Each week her deposits $64 more into his account. He does not take out any money. Is his account balance proportional to the number of weeks since he started adding to his account?
No, because he started with an extra $180 in his account.
500
Jamie is 5 feet tall and casts a shadow that is 3.5 feet long. She wants to find the height of a light pole that casts a shadow of 9 feet long. How tall is the light pole? Round to the nearest foot.
13 feet
500
The scale factor of two similar figures is 5/7. What is the ratio of the areas of the figures?
25/49
500
What is the constant of variation for miles to gallons Gallons (x) 4 5 6 7 Miles (y) 108 135 162 203
There is no constant of variation because this function is not a direct variation.
M
e
n
u