The linear equation represents the total number of visits Jackson must make to earn a free movie ticket is 9.5x + 45 = 102 and the total number of visits to the movie theater he must make is 6.
Given :
- Jackson has a points card for a movie theater.
- He receives 45 rewards points just for signing up.
- He earns 9.5 points for each visit to the movie theater.
- He needs 102 points for a free movie ticket.
The following steps can be used in order to determine the number of visits Jackson must make to earn a free movie ticket:
Step 1 - Let the total number of visits to the movie theater be 'x'.
Step 2 - So, the linear equation represents the total number of visits Jackson must make to earn a free movie ticket is:
9.5x + 45 = 102
Step 3 - Simplify the above linear equation.
9.5x = 57
x = 6
For more information, refer to the link given below:
https://brainly.com/question/2263981