Question

Use the table to answer the question.

Number of cars washed Total income ($)
6 42
8 56
10 70
What equation represents the relationship between the two variables? 

(1 point)
Responses

y=x+2
y equals x plus 2

x=7y
x equals 7 y

y=7x
y equals 7 x

y=x+14

Answer 1

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**.