Aiden has a points card for a movie theater.
He receives 75 rewards points just for signing up.
He earns 2.5 points for each visit to the movie theater.
He needs at least 90 points for a free movie ticket.
If Aiden has only signed up for the points card and hasn't made any visits to the movie theater yet, he currently has 75 points.
To earn a free movie ticket, he needs to earn at least 90 points.
Given that he earns 2.5 points for each visit, he would need to make 6 visits to reach the 90 point goal for a free movie ticket.
write an inequality representing vv, the number of visits he needs to make in order to get a free movie ticket.
Let \( V \) be the number of visits Aiden needs to make in order to get a free movie ticket.
We know that he has already earned 75 points and needs at least 90 points for a free movie ticket.
Since he earns 2.5 points for each visit, the total points earned from visits is \( 2.5V \).
Therefore, the inequality representing the number of visits he needs to make is:
\[ 75 + 2.5V \geq 90 \]
\[ 2.5V \geq 90 - 75 \]
\[ 2.5V \geq 15 \]
\[ V \geq 15/2.5 \]
\[ V \geq 6 \]
Therefore, Aiden needs to make at least 6 visits in order to earn enough points for a free movie ticket.
is v greater than equal to or less then equal to
The correct inequality for the number of visits Aiden needs to make in order to get a free movie ticket is:
\[ V \geq 6 \]
Therefore, the correct interpretation is \( V \) greater than or equal to 6. In other words, Aiden needs to make at least 6 visits to earn enough points for a free movie ticket.