Unit Rates
Constant of Proportionality
Map Scales & Shadows
Similar Shapes
Proportional Relationships
100
Donna purchased 7.5 pound of apples for $18.75. How much did Donna pay per pound of apples?
$2.50 per pound
100
What variable represents the constant of proportionality?
k
100
On a map with a scale of 1 cm : 55 mi, two cities measure 6.5 cm apart. What is the actual distance between the two cities?
357.5 miles
100
A square has side lengths of 14 inches. If Jenn applies a scale factor of 3.5, what will be the side lengths of the new square?
49 inches
100
What is the equation format for proportional relationships?
y=kx
200
Michael can mow 1/2 the yard in 1/3 of an hour. How long will it take Michael to mow the entire yard?
2/3
of an hour
200
What ratio is used to find the constant of proportionality?
y/x
200
A 2 foot dog is standing next to a tree. The dog casts a 7 feet shadow when the tree casts a 56 foot shadow. How tall is the tree?
16 feet
200
What is the length of side BC?
9 cm
200
Which graph shows a proportional relationship? Why?
D because it is linear and runs through the origin.
300
Susan can by 3 pounds of sugar for $2.75. How much will it cost her to by 8 pounds of sugar?
$7.33
300
What is the constant of proportionality in the equation?
y=7x
7
300
Tupelo and Oxford are 60 miles apart. If the map scale is 1/2 inch : 25 miles, how far apart are Tupelo and Oxford on the map?
1.2 inches
300
Triangle 1 is similar to Triangle 2. What is the value of b?
36
300
Does the table show a proportional relationship? If so, that is the constant of proportionality?
Yes
k =
1/3
400
Mrs. Long is taking kids rolling on Saturday night. Walmart has an 18-pack of toilet paper for $12.75. Kroger has a 15-pack of toilet paper for $9.75. Which store has the better deal on toilet paper?
Kroger
400
What is the constant of proportionality in the graph shown?
2/3
400
A drawing of a room has a length of 6 cm and a width of 8 cm. If the actual room has a length of 18 ft, what is the actual width of the room?
24 feet
400
A rectangle has a length of 3 cm and a width of 4 cm. If Chris re-draws the rectangle using a scale factor of 4, what will be the area of the new rectangle?
192 cm2
400
What equation represents the relationship in the table shown?
y=1/2x