Solve Ratio Problems with Proportions Quick Check
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Question
Raquel gets paid $75 per week to mow 8 yards. Which equation would represent how to compute her wage for each yard?(1 point)
Responses
875=x1
Start Fraction 8 over 75 End Fraction equals Start Fraction x over 1 End Fraction
757=8x
Start Fraction 75 over 7 End Fraction equals Start Fraction 8 over 1 End Fraction equals Start Fraction 8 over x end Fraction
757=x1
Start Fraction 75 over 7 End Fraction equals Start Fraction x over 1 End Fraction
758=x1
Start Fraction 75 over 8 End Fraction equals Start Fraction x over 1 End Fraction
The correct equation would be:
8/75 = x/1
The correct equation to represent how to compute Raquel's wage for each yard is:
Start Fraction 8 over 75 End Fraction equals Start Fraction x over 1 End Fraction.
To solve this ratio problem, we need to set up a proportion to represent the relationship between the number of yards mowed and the wage earned.
Let's call the wage earned per yard "x".
The given information tells us that Raquel gets paid $75 per week to mow 8 yards.
So, we can set up the proportion:
8/75 = x/1
To determine which equation represents the computation of her wage, we need to find the equation that matches this proportion.
Looking at the given options:
1) 875 = x1 - This equation does not match the proportion we set up.
2) 8/75 = x/1 - This equation matches the proportion we set up.
3) 75/7 = 8/1 = 8/x - This equation does not match the proportion we set up.
4) 75/8 = x/1 - This equation does not match the proportion we set up.
Therefore, the correct equation that represents how to compute Raquel's wage for each yard is: 8/75 = x/1.