Question

A grocery store sells bananas, where 6 bananas cost $3. How much will 16 bananas 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 16 bananas.
Number of Bananas Price

6
$
3

16
$
?
Good work!
One way to find the cost of 16 bananas is to use the scale factor. Write a multiplication equation you could use to find the scale factor.
× ?
Number of Bananas Price
6 $3
16



6
·
?
=
16
Good work!
To help you find the scale factor, rewrite the multiplication equation as a division equation.
× ?
Number of Bananas Price
6 $3
16

6 · ? = 16


16
÷
6
= ?
Nice!
To find the scale factor, we can divide. What is 16 divided by 6?
× ?
Number of Bananas Price
6 $3
16

6 · ? = 16

16 ÷ 6 = what fraction

Answer 1

To find the scale factor, we divide 16 by 6:

\[
16 \div 6 = \frac{16}{6} = \frac{8}{3}
\]

This simplifies to \( \frac{8}{3} \).

This means that the scale factor we are looking for is \( \frac{8}{3} \).

Now, we can use this scale factor to find the cost of 16 bananas.

Since the cost of 6 bananas is $3, we can set up the following multiplication equation:

\[
\text{Price of 16 bananas} = \text{Cost of 6 bananas} \times \text{Scale Factor}
\]

This gives us:

\[
\text{Price of 16 bananas} = 3 \times \frac{8}{3}
\]

Now we can calculate this:

\[
3 \times \frac{8}{3} = \frac{3 \times 8}{3} = 8
\]

Therefore, the cost of 16 bananas is $8.

Here is the completed table:

| Number of Bananas | Price |
|-------------------|-------|
| 6 | $3 |
| 16 | $8 |