A grocery store sells pears, where 6 pears cost $9. How much will 8 pears 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 8 pears.
Number of Pears Price

6
$
9

8
$
?
You got it!
One way to find the cost of 8 pears is to use the scale factor. Write a multiplication equation you could use to find the scale factor.
× ?
Number of Pears Price
6 $9
8

6
·
?
=
8
Nice!
To help you find the scale factor, rewrite the multiplication equation as a division equation.
× ?
Number of Pears Price
6 $9
8

6 · ? = 8

8
÷
6
= ?
Nice!
To find the scale factor, we can divide. What is 8 divided by 6?
× ?
Number of Pears Price
6 $9
8

6 · ? = 8

8 ÷ 6 =

Answer 1

To find the scale factor, we can perform the calculation \( 8 \div 6 \).

Calculating this gives:

\[ 8 \div 6 = \frac{8}{6} = \frac{4}{3} \approx 1.33 \]

Now that we have the scale factor, we can use it to determine the price for 8 pears. Since we know that 6 pears cost $9, we can multiply the cost of 6 pears by the scale factor to find the cost of 8 pears.

Set up the calculation as follows:

\[ \text{Price for 8 pears} = $9 \times \left(\frac{4}{3}\right) \]

Calculating this:

\[ \text{Price for 8 pears} = 9 \times \frac{4}{3} = \frac{36}{3} = 12 \]

Therefore, 8 pears will cost $12.

Here's how the complete table would look like:

| Number of Pears | Price | |------------------|---------| | 6 | $9 | | 8 | $12 |