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

$9.00
$9.00

$4.00
$4.00

$25.00
$25.00

$0.25

$0.25

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

2.54 centimeters
2.54 centimeters

25.08 centimeters
Start fraction 2 over 5.08 end fraction centimeters

0.394 centimeters
0.394 centimeters

3.54 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

$0.80
$0.80

$1.25
$1.25

$1
$1

$31.25
$31.25

To find the unit rate for 1 bag of chips, we divide the total cost by the number of bags.

Therefore, the unit rate 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

6.55 mph
6.55 mph

7 mph
7 mph

0.15 mph
0.15 mph

104.8 mph

To determine how many miles John runs per hour, we need to find the value of x when y = 1.

From the given proportional relationship 4y = 26.2x, we can substitute y = 1:

4(1) = 26.2x

4 = 26.2x

x = 4/26.2

x ≈ 0.152

Therefore, John runs approximately 0.152 miles per hour.

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

0.15 mph
0.15 mph

104.8 mph
104.8 mph

To determine how many miles John runs per hour, we need to find the value of x when y = 1.

From the given proportional relationship 4y = 26.2x, we can divide both sides by 4 to isolate x:

y = 26.2x/4

y = 6.55x

So, John runs approximately 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

3 centimeters
3 centimeters

0.39 centimeters
0.39 centimeters

2.54 centimeters
2.54 centimeters

91.44 centimeters
91.44 centimeters