Start by setting up a table that could be used to find the price of 12 pears.
Number of Pears Price
8
$
2
12
$
?
Good work!
One way to find the cost of 12 pears is to use the scale factor. Write a multiplication equation you could use to find the scale factor.
× ?
Number of Pears Price
8 $2
12
8
·
?
=
12
Great job!
To help you find the scale factor, rewrite the multiplication equation as a division equation.
× ?
Number of Pears Price
8 $2
12
8 · ? = 12
12
÷
8
= ?
Great job!
To find the scale factor, we can divide. What is 12 divided by 8?
× ?
Number of Pears Price
8 $2
12
8 · ? = 12
12 ÷ 8 =
12
8
Great job!
What is the scale factor?
×
3
2
Number of Pears Price
8 $2
12
8 · ? = 12
12 ÷ 8 =
8
12
Great job!
Use the scale factor to find the price of 12 pears. What number do you need to multiply $2 by to keep the ratio the same?
×
12
8
×
8
12
Number of Pears Price
8 $2
12
Nice!
To find the price of 12 pears, you can multiply $2 by the scale factor,
8
12
. Write 2 ·
8
12
as a single fraction.
×
8
12
×
8
12
Number of Pears Price
8 $2
12
2 ·
8
12
=
·
·
as a fraction
1 answer
To express \( 2 \cdot \frac{12}{8} \) as a single fraction, we can write it as follows:
\[ 2 \cdot \frac{12}{8} = \frac{2 \cdot 12}{8} = \frac{24}{8} \]
Next, we simplify \( \frac{24}{8} \):
\[ \frac{24}{8} = 3 \]
So, the cost of 12 pears at that rate is $3.
Here's the completed table:
| Number of Pears | Price | |------------------|-------| | 8 | $2 | | 12 | $3 |
1 answer
1 answer
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1 answer