Answer:
55 ≤ 3.5x + 15
Explanation:
Missing Inequality.
Given that:
Josh has a reward card for movie theater.
He receives 15 points for becoming a rewards card holder.
He earns 3.5 points for each visit to the movie theater.
He needs at least 55 points to earn a free movie ticket.
To Find:
Which inequality can Josh use to determine x, the minimum number of visits he needs to earn his first free movie ticket?
Solution:
From the given we know that:
Points Josh received for becoming a member = 15
Points Josh received for visiting the moving theater = 3.5
Total points needed for a free movie ticket = 55
Note that:
< = Less than
> = Greater than
≤ = Less than or equal to
≥ = Greater than or equal to
Thus, We know that Josh need to get less than or equal to 55.
Therefore, we use this sign ≤
Since we know that we need to get less than or equal to 55 then
we get
55 ≤ 3.5x + 15.
Hence, the inequality that Josh can use to determine x, the minimum number of visits he needs to earn his first free movie tickets is:
55 ≤ 3.5x + 15
Kavinsky