Miguel created the ratio table below to show how he uses the money he earns at work.

Question

Miguel’s Money
Money Earned
(dollars)
Money Saved
(dollars)
10
8
50
40
120
?
150
120

How much money will he save if he earns 120 dollars?
32 dollars
48 dollars
96 dollars
160 dollars

Answer 1

To find out how much money Miguel will save if he earns 120 dollars, we first need to determine the relationship between the money earned and the money saved in the ratio table.

From the table:

• When Miguel earns 10 dollars, he saves 8 dollars.
• When he earns 50 dollars, he saves 40 dollars.
• When he earns 150 dollars, he saves 120 dollars.

To find the ratio of money saved to money earned, we can calculate:

1. For 10 dollars earned: \[ \text{Savings Ratio} = \frac{8}{10} = 0.8 \]

2. For 50 dollars earned: \[ \text{Savings Ratio} = \frac{40}{50} = 0.8 \]

3. For 150 dollars earned: \[ \text{Savings Ratio} = \frac{120}{150} = 0.8 \]

The ratio of money saved to money earned is consistent (0.8) across all scenarios.

Now, we can apply this ratio to find out how much money he saves when he earns 120 dollars:

\[ \text{Savings} = \text{Money Earned} \times 0.8 \] \[ \text{Savings} = 120 \times 0.8 = 96 \]

Thus, if Miguel earns 120 dollars, he will save 96 dollars.

So, the correct answer is: 96 dollars.