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
9 answers
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:
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
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:
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.
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.
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.
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.
1 answer
1 answer
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