To find the equation that represents how to compute Raquel's wage for each yard she mows, we first need to figure out how much she earns per yard.
Raquel earns $75 for mowing 8 yards. We can calculate her wage per yard by dividing her total wage by the number of yards:
\[ \text{Wage per yard} = \frac{75}{8} \]
The variable \(x\) will represent the wage per yard. Therefore, we can set up the equation:
\[ x = \frac{75}{8} \]
Now let's look at the responses you provided. The correct representation based on the calculation should resemble an equation that sets up the relationship between her total wage and the number of yards.
The correct option would be: \[ \frac{75}{8} = \frac{x}{1} \]
However, if this option is not explicitly listed among your responses, the closest representation would utilize a similar format.
From the given responses, if we interpret them correctly, we can find:
- \( 75 = 8x \) (if x were to represent her wage per yard)
- \( \frac{75}{8} = \frac{x}{1} \) (for establishing wage per yard correctly)
Thus, the original formula of \( 75 = 8x \) is accurate in terms of calculating her total pay for the \( x \) dollars she earns per yard. Therefore, select the response with the equation \( 75 = 8x \).