Question

Julie bought a card good for 35 visits to a health club and began a workout routine. After y visits, she had y fewer than 35 visits remaining on her card. Write an algebric expression for this situation.

Answer 1

To determine the algebraic expression representing the situation, we can start with the total number of visits Julie has on her card, which is 35.

If Julie has made \( y \) visits, the number of visits remaining on her card can be expressed as:

\[
35 - y
\]

According to the problem, after \( y \) visits, she has \( y \) fewer visits remaining than the total of 35 visits. This means the number of visits remaining can also be expressed as:

\[
35 - y = 35 - 2y
\]

In this context, the correct expression reflecting that after \( y \) visits she has \( y \) fewer than 35 visits remaining can be rewritten to clarify the relationship.

To summarize, the number of visits remaining on her card is:

**Remaining visits:**
\[
35 - y
\]

And according to the statement “y fewer than 35,” we can equate this language to:

Remaining visits:
\[
35 - y
\]

This illustrates the algebraic expression of her remaining visits. Hence, we can write the situation fully as:

\[
\text{Remaining visits} = 35 - y
\]
This shows both the remaining visits and the relationship to Julie's visits.