The problem says Jenna wants to spend no more than $25. Which inequality symbol ($<$, $>$, $\le$, or $\ge$) matches "no more than" when you compare her total cost to $25?

After you set up the inequality with your cost expression and $25, solve it for the number of movies. Then ask yourself: Can she rent a fraction of a movie, or does the answer need to be a whole number? Choose the greatest whole number that fits your inequality.

In Desmos, type 8 + 2.5x to represent the total monthly cost (in dollars) when renting $x$ movies. This will graph a straight line.

Type y = 25 to graph a horizontal line showing the maximum amount Jenna is willing to spend.

Tap the intersection point of the two graphs to see the $x$-value where the cost reaches $25. Then choose from the answer choices the largest integer that is less than or equal to this $x$-value, since Jenna cannot rent a fraction of a movie.

Let $m$ be the number of movies Jenna rents in a month.

• Monthly subscription fee: $8
• Cost per movie: $2.50 each, so $2.5m$ for $m$ movies

Total monthly cost is $8 + 2.5m$.

"No more than $25" means the total cost is less than or equal to $25, so we write the inequality:

Solve the inequality step by step:

First subtract $8$ from both sides:

Now divide both sides by $2.5$:

Compute $17 \div 2.5 = 6.8$, so:

The inequality $m \le 6.8$ tells us Jenna can rent up to 6.8 movies, but the number of movies must be a whole number.

So we need the greatest integer that is less than or equal to $6.8$. That integer is $6$, which corresponds to answer choice B) 6.