Raquel gets paid $75 per week to mow 8 yards. Which equation would represent how to compute her wage for each yard
A: 8/75 = x/1
B: 75/7 = 8/x
C: 75/7 = x/1
D: 75/8 = x/1
The correct equation to represent how to compute Raquel's wage for each yard is:
C: 75/7 = x/1
This equation shows that Raquel is paid $75 for mowing 7 yards, and we need to find out how much she gets paid for mowing 1 yard, represented by x.
The equation that would represent how to compute Raquel's wage for each yard is:
C: 75/7 = x/1
This equation states that the ratio of the total wage ($75) to the number of yards (8) is equal to the ratio of the individual yard wage (x) to 1.
To compute Raquel's wage for each yard, we need to set up a proportion. The ratio between the number of yards mowed and the amount of money earned should be equal to the unknown wage for each yard.
Let's analyze the options:
A: 8/75 = x/1
In this equation, x represents the unknown wage. However, it does not accurately represent the relationship between yards mowed and the wage earned because it suggests that the wage is determined by the number of yards.
B: 75/7 = 8/x
In this equation, the denominator is x, which is incorrect since we want to find the wage earned for each yard, not the number of yards mowed.
C: 75/7 = x/1
This equation is correct. It shows the ratio of 75 (the total wage) divided by 7 (the number of days in a week) on the left side, and x (the wage for each yard) divided by 1 on the right side. This accurately represents the proportion we need to find.
D: 75/8 = x/1
This equation suggests that the wage is determined by dividing the total wage of 75 by the number of yards mowed (8), which is incorrect.
Therefore, the correct equation to represent how to compute Raquel's wage for each yard is:
C: 75/7 = x/1