Raquel gets paid $75 per week to mow 8 yards. Which equation would represent how to compute her wage for each yard?

A: 75/7 = 8/x
B: 75/8 = x/1
C: 75/7 = x/1
D: 8/75 = x/1

1 answer

To find an equation that computes Raquel's wage for each yard, we need to represent her total wage of $75 for mowing 8 yards.

We can use the formula for the unit rate, which is:

\[ \text{Wage per yard} = \frac{\text{Total Wage}}{\text{Number of Yards}} \]

This can be expressed as:

\[ x = \frac{75}{8} \]

Where \(x\) represents the wage per yard.

The equation that correctly represents this relationship is:

B: \(75/8 = x/1\)

This equation rearranges to show that Raquel earns \(75/8\) dollars per yard. Thus, option B is the correct choice.