Respuesta :
Writing Proportions
A proportion is a mathematical comparison between two ratios.
A ratio is a comparison between two numbers.
For instance, the ratio of apples to bananas in a fruit basket is 1 apple to 2 bananas:
- [tex]\dfrac{1\hspace{3}apple}{2\hspace{3}bananas}[/tex]
This is proportional to the ratio of apples to bananas in another fruit basket, which is 2 apples to 4 bananas:
- [tex]\dfrac{2\hspace{3}apples}{4\hspace{3}bananas}[/tex]
To write a proportion from this information, we can compare the ratios by makign them equal to each other:
- [tex]\dfrac{1\hspace{3}apple}{2\hspace{3}bananas}=\dfrac{2\hspace{3}apples}{4\hspace{3}bananas}[/tex]
- [tex]\dfrac{1}{2}=\dfrac{2}{4}[/tex]
Solving the Question
We're given:
- $118 per week
- $472 per 4 weeks
- These are proportional
$118 per week is one ratio:
- [tex]\dfrac{118\hspace{3}dollars}{1\hspace{3}week}[/tex]
$472 per 4 weeks is another ratio:
- [tex]\dfrac{472\hspace{3}dollars}{4\hspace{3}weeks}[/tex]
Now, set them equal to each other to create a proportion:
- [tex]\dfrac{118\hspace{3}dollars}{1\hspace{3}week}=\dfrac{472\hspace{3}dollars}{4\hspace{3}weeks}\\\\\dfrac{118}{1}=\dfrac{472}{4}[/tex]
Answer:
Therefore, the proportion is [tex]\dfrac{118}{1}=\dfrac{472}{4}[/tex].