Josh has a rewards card for a movie theater. - he receives 15 points for becoming a rewards card holder. - he earns 3.5 points for each visit to the movie theatre. - he needs at least 55 points to earn a free movie ticket. which inequality can josh use to determine x, the minimum number of visits he needs to earn his firs free movie ticket?

a 3.5x+15≥553.5x+15\ge553.5x+15≥55

b 3.5+15x≥553.5+15x\ge553.5+15x≥55

c 3.5+15x ≤ 553.5+15x\ \le\ 553.5+15x ≤ 55

d 3.5x+15 ≤ 553.5x+15\ \le\ 553.5x+15 ≤ 55

Option A. 3.5x + 15 ≥ 55

Step-by-step explanation:

Points Rosh received for becoming a member = 15

Points Rosh received for visiting the moving theater = 3.5

Total points needed for a free movie ticket = 55

For each visit he receives 3.5 points, so for x visits he will receive 3.5x points.

Total points = Points received on becoming a member + Points received on x visits

So,

Total Points = 15 + 3.5x

These points must be at least 55 for a free movie ticket. At least means equal to or greater than. So the total points must be equal to or greater than 55 in order to earn a free movie ticket. This can be expressed as:

3.5x + 15 ≥ 55

So, option A gives the correct answer

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right