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

9 answers

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.