Write an equation that shows the relationship between the number of days Tanvi has been on vacation, x, and the total number of postcards she has sent, y.
Understand the Problem
The question is asking to write an equation that expresses the relationship between the number of days Tanvi has been on vacation (x) and the total number of postcards she has sent (y). Each day she sends 3 postcards.
Answer
The equation is $y = 3x$.
Answer for screen readers
The equation that shows the relationship is:
$$ y = 3x $$
Steps to Solve
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Identify the variables Let ( x ) represent the number of days Tanvi has been on vacation and ( y ) represent the total number of postcards sent.
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Determine the relationship Each day, Tanvi sends 3 postcards. Therefore, after ( x ) days, she has sent ( 3 \times x ) postcards.
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Write the equation The total number of postcards sent ( y ) can be expressed as: $$ y = 3x $$
The equation that shows the relationship is:
$$ y = 3x $$
More Information
This equation indicates that for every day Tanvi is on vacation, she sends 3 postcards. If Tanvi vacations for 4 days, for example, she will send ( 3 \times 4 = 12 ) postcards.
Tips
- Confusing the coefficients: Sometimes, students may choose the wrong number of postcards sent per day. Ensure that it is 3 postcards per day as given in the problem.
- Not using the correct format for the equation: Remember to write ( y ) in terms of ( x ) properly.
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