Question
A grocery store sells apples, where 8 apples cost $2. How much will 12 apples cost at this rate? Use the scale factor to help you solve.
Start by setting up a table that could be used to find the price of 12 apples.
Number of Apples Price
8
$
2
12
$
?
Good work!
One way to find the cost of 12 apples is to use the scale factor. Write a multiplication equation you could use to find the scale factor.
× ?
Number of Apples Price
8 $2
12
8
·
?
=
12
You got it!
To help you find the scale factor, rewrite the multiplication equation as a division equation.
× ?
Number of Apples Price
8 $2
12
8 · ? = 12
12
÷
8
= ?
You got it!
To find the scale factor, we can divide. What is 12 divided by 8?
× ?
Number of Apples Price
8 $2
12
8 · ? = 12
12 ÷ 8 =
Start by setting up a table that could be used to find the price of 12 apples.
Number of Apples Price
8
$
2
12
$
?
Good work!
One way to find the cost of 12 apples is to use the scale factor. Write a multiplication equation you could use to find the scale factor.
× ?
Number of Apples Price
8 $2
12
8
·
?
=
12
You got it!
To help you find the scale factor, rewrite the multiplication equation as a division equation.
× ?
Number of Apples Price
8 $2
12
8 · ? = 12
12
÷
8
= ?
You got it!
To find the scale factor, we can divide. What is 12 divided by 8?
× ?
Number of Apples Price
8 $2
12
8 · ? = 12
12 ÷ 8 =
Answers
GPT-4o mini
To find the scale factor, we can divide 12 by 8:
\[
12 \div 8 = 1.5
\]
So, the scale factor is 1.5.
Now that we have the scale factor, we can use it to find the price of 12 apples. Since 8 apples cost $2, we will multiply the price of 8 apples by the scale factor to find the cost of 12 apples:
\[
\text{Cost for 12 apples} = \text{Cost for 8 apples} \times \text{Scale Factor}
\]
\[
\text{Cost for 12 apples} = 2 \times 1.5
\]
Calculating that:
\[
2 \times 1.5 = 3
\]
Therefore, the cost of 12 apples will be $3.
Here’s how the completion of the table would look:
| Number of Apples | Price |
|------------------|-------|
| 8 | $2 |
| 12 | $3 |
\[
12 \div 8 = 1.5
\]
So, the scale factor is 1.5.
Now that we have the scale factor, we can use it to find the price of 12 apples. Since 8 apples cost $2, we will multiply the price of 8 apples by the scale factor to find the cost of 12 apples:
\[
\text{Cost for 12 apples} = \text{Cost for 8 apples} \times \text{Scale Factor}
\]
\[
\text{Cost for 12 apples} = 2 \times 1.5
\]
Calculating that:
\[
2 \times 1.5 = 3
\]
Therefore, the cost of 12 apples will be $3.
Here’s how the completion of the table would look:
| Number of Apples | Price |
|------------------|-------|
| 8 | $2 |
| 12 | $3 |
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