Caleb types 100 words in 5 minutes. What is the unit rate?
A.100 words to 5 minutes
B.5 minutes per 100 words
C. 20 words per minute
D.1 minute to 20 words
C. 20 words per minute
At one farmer’s market, bananas cost $0.80 per pound. At another farmer’s market, bananas are sold in 5-pound bags for $4.50 per bag. Which explains how to find the better buy?
Divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0.80 per pound.
Divide 0.80 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0.80 per pound.
Multiply 4.50 by 5 to find the cost for 5 pounds, and compare to $4.50 per bag.
Multiply 4.50 by 0.80 to find the cost for 5 pounds, and compare to $4.50 per bag.
A. Divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0.80 per pound.
The table below shows the cost of bananas at a local grocery store.
Banana Prices
Weight of Bananas
(pounds)
Cost
($)
1
0.75
2
1.50
3
2.25
4
3.00
?
3.75
How many pounds of bananas cost $3.75?
5
6
7
8
7
A car travels 22 miles for every gallon of gasoline used. The table below represents this relationship.
Gas Mileage
Distance Traveled
(miles)
Gasoline Used
(gallons)
22
1
44
2
x
3
88
4
Which equation correctly shows a pair of equivalent ratios that can be used to find the unknown?
StartFraction 1 over 22 EndFraction = StartFraction x over 2 EndFraction
StartFraction 22 over 1 EndFraction = StartFraction x over 2 EndFraction
StartFraction 1 over 22 EndFraction = StartFraction x over 3 EndFraction
StartFraction 22 over 1 EndFraction = StartFraction x over 3 EndFraction
StartFraction 1 over 22 EndFraction = StartFraction x over 2 EndFraction
There are 12 boys and 16 girls in a classroom. Which represents the simplified ratio of girls to students in the classroom?
3 to 4
4 to 3
4 to 7
7 to 4
The simplified ratio of girls to students in the classroom is 4 to 7.
A pound of raisins costs $2.00, and a pound of almonds costs $5.00. Six pounds of a trail mix contains 2 more pounds of raisins than almonds. What is the cost of the 6 pounds of trail mix?
$7.00
$18.00
$24.00
$42.00
To find the cost of the 6 pounds of trail mix, we need to calculate the cost per pound for raisins and almonds, and then multiply it by the total weight of the trail mix.
The cost per pound for raisins is $2.00, and the cost per pound for almonds is $5.00. Since the trail mix contains 2 more pounds of raisins than almonds, we have 4 pounds of raisins and 2 pounds of almonds in the trail mix.
The cost of 4 pounds of raisins is 4 * $2.00 = $8.00.
The cost of 2 pounds of almonds is 2 * $5.00 = $10.00.
Therefore, the total cost of the 6 pounds of trail mix is $8.00 + $10.00 = $18.00.
So, the cost of the 6 pounds of trail mix is $18.00.
Two stores sell CDs in packages, as shown in the table below.
CD Prices at Store A
Number of CDs in Package
1
12
20
45
Cost
$0.70
$8.40
?
$31.50
CD Prices at Store B
Number of CDs in Package
1
20
30
65
Cost
$0.60
?
$18.00
$39.00
If the rate at each store is constant, which statement correctly compares the cost of a package containing 20 CDs?
The cost at Store A is $2.00 greater than at Store B.
The cost at Store B is $2.00 greater than at Store A.
The cost at Store A is $1.00 greater than at Store B.
The cost at Store B is $1.00 greater than at Store A.
To compare the cost of a package containing 20 CDs at Store A and Store B, let's look at the given information:
At Store A, a package of 12 CDs costs $8.40.
At Store B, a package of 30 CDs costs $18.00.
To find the cost of a package containing 20 CDs at Store A, we can set up a proportion:
12 CDs / $8.40 = 20 CDs / x
Cross multiply and solve for x:
12x = 20 * $8.40
12x = $168
x = $168 / 12
x = $14.00
Therefore, the cost of a package containing 20 CDs at Store A is $14.00.
Comparing this to the cost at Store B, which is $18.00, we can conclude that:
The cost at Store B is $4.00 greater than at Store A.
So none of the given options are correct.
One pound of grapes costs $1.55. Which equation correctly shows a pair of equivalent ratios that can be used to find the cost of 3.5 pounds of grapes?
StartFraction 1.55 over 1 EndFraction = StartFraction x over 3.5 EndFraction
StartFraction 1.55 over 1 EndFraction = StartFraction 3.5 over x EndFraction
StartFraction 1 over 1.55 EndFraction = StartFraction x over 3.5 EndFraction
StartFraction x over 1.55 EndFraction = StartFraction 1 over 3.5 EndFraction
StartFraction 1.55 over 1 EndFraction = StartFraction x over 3.5 EndFraction
Fuad’s model racing car drives at an average speed of 3 feet per second. Fuad records the distances and times in a table like the one shown below.
Speed of Model Race Car
Distance (ft.)
3
Time (s)
1
At this rate, how long will it take the car to travel 21 feet?
3.0 seconds
6.3 seconds
7.0 seconds
14.3 seconds
To find out how long it will take the car to travel 21 feet, we can set up a proportion using the given information:
3 feet / 1 second = 21 feet / x seconds
Cross multiply and solve for x:
3x = 21 * 1
3x = 21
x = 21 / 3
x = 7
Therefore, it will take the car 7 seconds to travel 21 feet.
So, the correct answer is 7.0 seconds.
A van can travel 18 miles on each gallon of gasoline. At that rate, how many miles can the van travel on 15 gallons of gasoline?
33 miles
83 miles
120 miles
270 miles
To find out how many miles the van can travel on 15 gallons of gasoline, we can set up a proportion using the given information:
18 miles / 1 gallon = x miles / 15 gallons
Cross multiply and solve for x:
18 * 15 = 1 * x
270 = x
Therefore, the van can travel 270 miles on 15 gallons of gasoline.
So, the correct answer is 270 miles.
Tickets to a movie cost $9.25 each. What is the total cost for 6 tickets?
$15.25
$15.42
$46.25
$55.50
To find the total cost for 6 tickets, we can multiply the cost per ticket by the number of tickets:
$9.25 x 6 = $55.50
Therefore, the total cost for 6 tickets is $55.50.
So, the correct answer is $55.50.