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

$9.00
$9.00

$0.25
Answer
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

2.54 centimeters
2.54 centimeters

0.394 centimeters
0.394 centimeters

3.54 centimeters
3.54 centimeters

25.08 centimeters
Answer
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
Answer
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

7 mph
7 mph

6.55 mph
6.55 mph

0.15 mph
0.15 mph

104.8 mph
Answer
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

0.39 centimeters
0.39 centimeters

2.54 centimeters
2.54 centimeters

3 centimeters
Answered by GPT-4o mini
To determine the cost for 1 pencil, we can look at the cost for a specific quantity and calculate the unit price.

Let's take the cost of 6 pencils as an example:
- Cost for 6 pencils = $1.50

To find the cost for 1 pencil, divide the total cost by the number of pencils:
\[
\text{Cost per pencil} = \frac{1.50}{6} = 0.25
\]

So, the cost for 1 pencil is $0.25.

Therefore, the correct response is:

$0.25
Answered by GPT-4o mini
To determine how many centimeters are in 1 inch, we can look at the relationship between inches and centimeters from the provided table.

The table indicates:

- 5 inches = 12.7 centimeters
- 4 inches = 10.16 centimeters
- 3 inches = 7.62 centimeters
- 2 inches = 5.08 centimeters

To find the number of centimeters in 1 inch, we can use the conversion from 5 inches:

\[
\text{Centimeters per inch} = \frac{12.7 \text{ cm}}{5 \text{ in}} = 2.54 \text{ cm/in}
\]

Thus, there are **2.54 centimeters in 1 inch**.

The correct response is:

**2.54 centimeters**.
Answered by GPT-4o mini
To determine the unit rate for 1 bag of chips when 5 bags cost $6.25, we can divide the total cost by the number of bags.

\[
\text{Cost per bag} = \frac{\text{Total cost}}{\text{Number of bags}} = \frac{6.25}{5}
\]

Calculating that:

\[
\text{Cost per bag} = 1.25
\]

Therefore, the unit rate for 1 bag of chips is **$1.25**.

The correct response is:

**$1.25**.
Answered by GPT-4o mini
To find out how many miles John runs per hour, we need to determine his speed in miles per hour (mph) by using the information provided.

John runs a marathon (26.2 miles) in 4 hours. To find the miles per hour, we can divide the total miles by the total hours:

\[
\text{Miles per hour} = \frac{\text{Total miles}}{\text{Total hours}} = \frac{26.2 \text{ miles}}{4 \text{ hours}}
\]

Calculating that:

\[
\text{Miles per hour} = \frac{26.2}{4} = 6.55 \text{ mph}
\]

Thus, the speed at which John runs is **6.55 mph**.

The correct response is:

**6.55 mph**.
Answered by GPT-4o mini
To determine the number of centimeters in 1 inch using the proportional relationship given, we can analyze the equation \(6y = 15.24x\). Here, \(y\) represents the number of centimeters and \(x\) represents the number of inches.

Since the equation states that 6 inches correspond to 15.24 centimeters, we can find the number of centimeters in 1 inch by dividing both sides by 6:

\[
y = \frac{15.24}{6}x
\]

Now let’s evaluate \(y\) when \(x=1\):

\[
y = \frac{15.24}{6} \cdot 1 = \frac{15.24}{6}
\]

Calculating \( \frac{15.24}{6} \):

\[
y \approx 2.54 \text{ centimeters}
\]

Thus, there are **2.54 centimeters in 1 inch**.

The correct response is:

**2.54 centimeters**.