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.

Question

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 =

Answer 1

To find the value of \( 16 \div 6 \):

\[ 16 \div 6 = \frac{16}{6} = \frac{8}{3} \approx 2.67 \]

This means the scale factor is approximately \( 2.67 \).

Now, we can use this scale factor to determine the cost of 16 bananas. Since you know that 6 bananas cost $3, you can multiply the cost by the scale factor to find the cost for 16 bananas.

So, the equation to use is:

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

Thus, the cost for 16 bananas is $8.

Here's the completed table:

\[ \begin{array}{|c|c|} \hline \text{Number of Bananas} & \text{Price} \ \hline 6 & $3 \ \hline 16 & $8 \ \hline \end{array} \]