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
$0.25
$0.25
$4.00
The cost for 1 pencil can be determined by dividing the cost by the quantity.
For the first row:
Cost/Quantity = $12.00 / 48 = $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
25.08 centimeters
Start fraction 2 over 5.08 end fraction centimeters
3.54 centimeters
3.54 centimeters
0.394 centimeters
0.394 centimeters
2.54 centimeters
To determine how many centimeters are in 1 inch, you need to find the corresponding value in the Centimeters column for 1 inch in the Inches column.
From the table, 1 inch is equal to 2.54 centimeters. 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
$0.80
$0.80
$31.25
$31.25
$1
$1
$1.25
$1.25
To find the unit rate for 1 bag of chips, you need to determine the cost of one bag of chips.
The equation 5y = $6.25x represents the relationship between the number of bags (x) and the cost (y).
To find the cost of 1 bag, substitute x = 1 into the equation:
5y = $6.25(1)
5y = $6.25
Now, solve for y by dividing both sides by 5:
y = $6.25 / 5
y = $1.25
Therefore, the unit rate for 1 bag of chips is $1.25.
John runs a marathon (26.2 miles) in 4 hours. Determine how many miles he runs per hour if the proportional relationship is represented by 4y=26.2x.(1 point)
Responses
104.8 mph
104.8 mph
6.55 mph
6.55 mph
7 mph
7 mph
0.15 mph
To determine how many miles John runs per hour, you need to find the value of x in the equation 4y = 26.2x, where x represents the number of hours and y represents the number of miles.
In this case, x represents the number of hours, and y represents the number of miles.
To find the number of miles per hour, divide the number of miles (y) by the number of hours (x).
From the equation 4y = 26.2x, we know that y = 26.2 and x = 4.
So, miles per hour = y / x = 26.2 / 4 = 6.55 mph.
Therefore, John runs at a speed of 6.55 miles per hour.
The proportional relationship 15.24 centimeters in 6 inches is represented by 6y=15.24x. Determine the number of centimeters in 1 inch.(1 point)
Responses
91.44 centimeters
91.44 centimeters
2.54 centimeters
2.54 centimeters
3 centimeters
3 centimeters
0.39 centimeters
To determine the number of centimeters in 1 inch, you need to find the value of y in the equation 6y = 15.24x, where x represents the number of inches and y represents the number of centimeters.
In this case, x represents the number of inches, and y represents the number of centimeters.
To find the number of centimeters in 1 inch, divide the number of centimeters (y) by the number of inches (x).
From the equation 6y = 15.24x, we know that y = 15.24 and x = 6.
So, centimeters per inch = y / x = 15.24 / 6 = 2.54 centimeters.
Therefore, there are 2.54 centimeters in 1 inch.
To determine the cost for 1 pencil, we can analyze the given table that shows the relationship between the quantity of pencils and their corresponding costs:
Quantity (number of pencils) - Cost ($)
48 - 12.00
24 - 6.00
12 - 3.00
6 - 1.50
We can see that the cost decreases as the quantity of pencils decreases. To find the cost for 1 pencil, we need to find the row in the table where the quantity is 1.
However, there is no row with a quantity of 1 in the table. The closest quantities are 6 and 12.
For 6 pencils, the cost is $1.50. We can calculate the cost per pencil by dividing the cost by the quantity:
$1.50 / 6 = $0.25
Therefore, the cost for 1 pencil is $0.25.
So, the correct response is $0.25.