Which equation best represents y, the total number of letters Natasha puts in envelopes in x hours if she continues at this rate?
Understand the Problem
The question is asking us to determine the correct equation that represents the total number of letters Natasha puts in envelopes over a given number of hours, given that she puts 42 letters in one hour.
Answer
The correct equation is $y = 42x$.
Answer for screen readers
The equation that represents the total number of letters is $y = 42x$.
Steps to Solve
- Identify the given information
Natasha puts 42 letters in envelopes every hour.
- Determine the total number of letters over x hours
If Natasha puts 42 letters in one hour, then in $x$ hours, she will put $$ y = 42 \cdot x $$ letters.
- Rearrange the equation to solve for y
This means that the equation that represents the total number of letters Natasha puts in envelopes in $x$ hours is: $$ y = 42x $$
The equation that represents the total number of letters is $y = 42x$.
More Information
This equation shows that the total number of letters $y$ is directly proportional to the number of hours $x$, with a constant rate of 42 letters per hour.
Tips
- Confusing the variables: Make sure to correctly identify which variable represents total letters ($y$) and which represents time in hours ($x$).
- Misinterpreting the relationship: Remember that since Natasha puts a constant number of letters per hour, the relationship should be linear.
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