Unit Rate from Tables and Equations Quick Check
1 of 51 of 5 Items
Question
Use the table to answer the question.
Cost of Pencils
Quantity Cost
($)
48 12.00
24 6.00
12 3.00
6 1.50
Determine the cost for 1 pencil.
(1 point)
Responses
$4.00
$4.00
$25.00
$25.00
$0.25
$0.25
$9.00
To determine the cost for 1 pencil, we need to find the cost given the quantity of 1.
Looking at the table, we see that when the quantity is 48, the cost is $12.00.
Since 1 is 1/48 of 48, the cost for 1 pencil would be 1/48 of $12.00.
To find this, we divide $12.00 by 48.
$12.00 ÷ 48 = $0.25
Therefore, the cost for 1 pencil is $0.25.
The correct answer is $0.25.
To find how many centimeters are in 1 inch, we need to find the conversion factor from inches to centimeters by examining the table.
Looking at the table, we can see that when the inches decrease by 1, the centimeters decrease by a specific value.
Going from 2 inches to 1 inch, the centimeters decrease from 5.08 to a value that can be determined by finding the difference between the two centimeter values:
5.08 - X = 5.08 - 1.27 = 3.81
Therefore, 1 inch is equal to 3.81 centimeters.
The correct answer is 3.81 centimeters.
To determine the unit rate for 1 bag of chips in this case, we need to find the cost of 1 bag of chips.
The equation given is 5y = $6.25x, where y represents the cost of each bag and x represents the number of bags.
To find the unit rate for 1 bag, we need to solve for y when x = 1.
5y = $6.25(1)
5y = $6.25
Divide both sides of the equation by 5 to solve for y:
y = $6.25/5
y = $1.25
Therefore, the unit rate for 1 bag of chips is $1.25.
The correct answer is $1.25.
To determine the number of centimeters in 1 inch, we need to find the value of y when x represents the number of inches. In this case, x represents the number of inches and y represents the number of centimeters.
The equation given is 6y = 15.24x, where y represents the number of centimeters and x represents the number of inches.
To find the number of centimeters in 1 inch, we need to solve for y when x = 1.
6y = 15.24(1)
6y = 15.24
Divide both sides of the equation by 6 to solve for y:
y = 15.24/6
y = 2.54
Therefore, there are 2.54 centimeters in 1 inch.
The correct answer is 2.54 centimeters.
Unit Rate from Tables and Equations Quick Check
2 of 52 of 5 Items
Question
Use the table to answer the question.
Linear Measurement
Inches Centimeters
5 12.7
4 10.16
3 7.62
2 5.08
How many centimeters are in 1 inch?
(1 point)
Responses
0.394 centimeters
0.394 centimeters
3.54 centimeters
3.54 centimeters
25.08 centimeters
Start fraction 2 over 5.08 end fraction centimeters
2.54 centimeters
Determine the unit rate for 1 bag of chips if 5 bags cost $6.25; the proportional relationship is described by 5y=$6.25x.(1 point)
Responses
$1
$1
$31.25
$31.25
$0.80
$0.80
$1.25
$1.25
John runs a marathon (26.2 miles) in 4 hours. Determine how many miles he runs per hour if the proportional relationship is represented by 4y=26.2x.(1 point)
Responses
6.55 mph
6.55 mph
7 mph
7 mph
104.8 mph
104.8 mph
0.15 mph
The proportional relationship 15.24 centimeters in 6 inches is represented by 6y=15.24x. Determine the number of centimeters in 1 inch.(1 point)
Responses
3 centimeters
3 centimeters
0.39 centimeters
0.39 centimeters
91.44 centimeters
91.44 centimeters
2.54 centimeters
To determine the cost of 1 pencil using the table, you need to find the unit rate. In this case, the unit rate represents the cost of 1 pencil.
To find the unit rate, first identify the quantities given in the table. The quantities given are the quantity of pencils and the cost in dollars.
Next, find the ratio of the cost to the quantity for each entry in the table. For example, for the first entry (48 pencils for $12.00), the ratio would be 12.00/48 = 0.25.
By calculating the ratio for each entry, you can determine that the cost of 1 pencil is $0.25.
Therefore, the correct answer is $0.25.
To determine how many miles John runs per hour, we need to find the rate (y) when x represents the time in hours. In this case, x represents the number of hours.
The equation given is 4y = 26.2x, where y represents the number of miles and x represents the number of hours.
To find the rate for 1 hour, we need to solve for y when x = 1.
4y = 26.2(1)
4y = 26.2
Divide both sides of the equation by 4 to solve for y:
y = 26.2/4
y = 6.55
Therefore, John runs at a rate of 6.55 miles per hour.
The correct answer is 6.55 mph.