Final answer:
Blake needs to make 14 visits to the movie theater to earn the 196 points necessary for a free ticket. This is calculated by subtracting the initial 35 points from the total needed and then dividing by the points earned per visit.
Step-by-step explanation:
The question at hand involves solving the number of visits to the movie theater Blake needs to make to earn enough reward points for a free ticket. Blake starts with 35 reward points and earns 11.5 points per visit. We will calculate how many visits are needed to reach or exceed 196 points.
- Determine the total number of points needed by subtracting the initial points from the required total: 196 - 35 = 161 points needed.
- Since Blake earns 11.5 points per visit, divide the points needed by the points per visit: 161 / 11.5.
- This division gives us the number of visits Blake must make to earn enough points. The result is 14 visits (since we cannot visit half times, we round up if there is any remainder).
Therefore, Blake needs to make 14 visits to the movie theater to earn enough reward points for a free ticket.