To find the equation that represents the relationship between the number of cars washed (x) and the total income (y), we can first look for a pattern in the data provided.
Given the values:
- When 6 cars are washed, the total income is $42.
- When 8 cars are washed, the total income is $56.
- When 10 cars are washed, the total income is $70.
We can analyze these numbers to see if they follow a linear relationship:
- The increase in the number of cars washed from 6 to 8 is 2 cars, and the increase in income from $42 to $56 is $14.
- The increase from 8 to 10 cars is again 2 cars, and the income increase from $56 to $70 is $14.
From this, we can deduce that for every 2 cars washed, the income increases by $14.
To find the rate of income per car washed, we can calculate:
- The increase in income per car = $14 / 2 = $7.
This suggests the total income increases by $7 with each additional car washed.
Thus, we can express the relationship as:
- \( y = 7x \)
Where:
- \( y \) is the total income,
- \( x \) is the number of cars washed.
So the correct equation from the options given is:
y = 7x.
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