Unit Rate
If a machine makes 6 pounds of nails in 2 hours, what is the rate in pounds per hour?
3 pounds per hour
If y is always 3 times x, is the relationship between x and y proportional?
yes
In the equation y = 5x, what is the constant of proportionality?
5
On a map, 1 inch = 10 miles. How many miles apart are two cities that are 3 inches apart on the map
30 miles
If it takes 2 minutes to read 1 page, how many minutes to read 10 pages?
20 minutes
A car travels 150 miles in 3 hours. What is the unit rate in miles per hour?
50 miles per hour
True or False: A graph that is a straight line through the origin (0,0) shows a proportional relationship.
True
If the constant of proportionality is 8, what equation relates x and y
What is y = 8x
A $40 shirt is on sale for 25% off. What is the discount amount?
$10
A copy machine prints 210 pages in 7 minutes. What is the unit rate?
30 pages per minute
A recipe uses 5 teaspoons of salt for 10 pounds of meat. What is the unit rate of salt per pound?
0.5 teaspoons per pound
In a table, if the ratio y/x is the same for every pair, the relationship is ________.
proportional
The cost for 5 ounces of nuts is $2.50. Which equation finds the cost for 20 ounces?
A) 5/2.5 = 20/x
B) 2.5/5 = x/20
B
The original price of a book is $20. It is discounted by 15%. What is the sale price?
$17? ($20 - $3 discount)
You have 60 feet of rope. After making 5 bracelets, you have 25 feet left. How much rope was used per bracelet?
7 feet per bracelet
A machine makes 2 1/4 pounds of nails in 1 1/2 hours. At what rate does the machine make nails?
1 1/2 pounds per hour
Based on a chart where 500 sq ft costs $750 and 1000 sq ft costs $1500, which statement describes the relationship between area and cost?
The relationship is proportional because the ratio of area to cost is constant
The equation y = 4.3x determines the total cost, y, for x pounds of apples. What does the number 4.3 represent?
The cost of 1 pound of apples
Two stores discount a $35 watch. Store A by 20%, Store B by 15%. How much less is the discounted price at Store A?
$1.75
oli has 102.5 feet of string. After 7 bracelets, 33.55 feet remain. How many feet did she use per bracelet?
9.85 feet per bracelet?
A cook uses 1 3/4 teaspoons of salt to make 3 1/2 pounds of pasta. What is the unit rate in teaspoons per pound?
1/2 teaspoon per pound
A graph shows the proportional relationship between cups of milk and strawberry juice. What is the meaning of the point (1, 0.5)?
For every 1 cup of milk, there should be 0.5 cup of strawberry juice
A table shows a proportional relationship with pairs like (0.50, 0.750) and (1.25, 1.875). What is the constant of proportionality?
1.5
An airline ticket costs $473. A 20% discount is applied, then a 12% tax is added to the discounted price. What is the total price?
$423.81
Mali spends 7.5 hours in school. She has 30 min for lunch and 42 min for transitions. The rest is for 6 equal-length classes. How long is each class in hours?
4/15 hours (or 1.067 hours)