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.

Question

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 =

Answer 1

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 |