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 =
3
2
Nice!
What is the scale factor?
×
Number of Apples Price
8 $2
12

8 · ? = 12

12 ÷ 8 =
8
12
​

Answer 1

The scale factor is \( \frac{12}{8} \) or \( 1.5 \). This means that the number of apples increases by 1.5 times when going from 8 apples to 12 apples.

To find the cost of 12 apples, we can multiply the cost of 8 apples ($2) by the scale factor:

\[ \text{Cost of 12 apples} = \text{Cost of 8 apples} \times \text{Scale factor} \] \[ \text{Cost of 12 apples} = 2 \times 1.5 = 3 \]

So, at this rate, 12 apples will cost $3.

Here's the complete table you were setting up:

| Number of Apples | Price | |------------------|-------| | 8 | $2 | | 12 | $3 |