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
$25.00
$25.00
$9.00
$9.00
$4.00
$4.00
$0.25
$0.25
To find the cost for 1 pencil, we need to determine the cost per pencil by dividing the total cost by the quantity.
Using the given table, the cost for 1 pencil is calculated as follows:
Cost per pencil = Total cost / Quantity
Cost per pencil = $3.00 / 12 pencils = $0.25
Therefore, the cost for 1 pencil is $0.25.
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
3.54 centimeters
3.54 centimeters
25.08 centimeters
Start fraction 2 over 5.08 end fraction centimeters
2.54 centimeters
2.54 centimeters
0.394 centimeters
0.394 centimeters
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To find the number of centimeters in 1 inch, we need to determine the ratio of centimeters to inches by dividing the given values of centimeters by inches.
Using the given table, the ratio of centimeters to inches is calculated as follows:
Ratio of centimeters to inches = Centimeters / Inches
Ratio of centimeters to inches = 12.7 cm / 5 inches = 2.54 cm/inch
Therefore, there are 2.54 centimeters in 1 inch.
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
To determine the unit rate for 1 bag of chips, we need to divide the total cost by the quantity of bags.
Using the given equation, we have 5y=$6.25x.
We can rewrite this equation as y = ($6.25/5)x to determine the unit rate or cost per bag.
Unit rate = ($6.25/5) = $1.25
Therefore, the unit rate for 1 bag of chips is $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
To determine how many miles John runs per hour, we need to divide the total distance by the total time.
Using the given equation, 4y = 26.2x, we can rewrite it as y = (26.2/4)x to determine the miles per hour.
Miles per hour = (26.2/4) = 6.55
Therefore, John runs approximately 6.55 miles per hour.
To determine the number of centimeters in 1 inch, we need to divide the total centimeters by the quantity of inches.
Using the given equation, 6y = 15.24x, we can rewrite it as y = (15.24/6)x to determine the number of centimeters per inch.
Number of centimeters per inch = (15.24/6) = 2.54 centimeters
Therefore, there are 2.54 centimeters in 1 inch.
To determine the cost for 1 pencil based on the given table, you need to find the unit rate, which is the cost per pencil.
To find the unit rate, divide the cost by the quantity.
Let's take the first row as an example:
Quantity: 48 pencils
Cost: $12.00
To find the unit rate, divide $12.00 by 48:
$12.00 ÷ 48 = $0.25
So, the cost for 1 pencil is $0.25.
Therefore, the correct answer is $0.25.
i feel lazy so just know that the ai is right for once in a million years
but if you cant read the here
1:$0.25
2:2.54cm
3:$1.25
4:6.55mph
5:2.54cm...again
(if its outdated then skill issue)