Nora has a points card for a movie theater.
She receives 20 rewards points just for signing up.
She earns 12.5 points for each visit to the movie theater.
She needs at least 155 points for a free movie ticket.
What is the least number of visits she needs to make in order to earn a free movie ticket?
First, we subtract the 20 sign-up points from the number of points Nora needs to get a free movie ticket: 155 points - 20 points = <<155-20=135>>135 points.
Then, we divide the remaining number of points she needs by the number of points she earns per visit to find the number of visits she needs to make: 135 points / 12.5 points/visit = <<135/12.5=10.8>>10.8 visits.
Since Nora can't make a fraction of a visit, she needs to make at least 11 visits to earn a free movie ticket. Answer: \boxed{11}.
To determine the least number of visits Nora needs to make in order to earn a free movie ticket, we can use the following steps:
Step 1: Calculate the number of points Nora earns on each visit
Since Nora earns 12.5 points for each visit to the movie theater, we can use this information to calculate the number of points she earns per visit.
Points earned per visit = 12.5
Step 2: Subtract the sign-up bonus from the target points for a free movie ticket
Since Nora receives 20 rewards points just for signing up, we need to subtract this bonus from the target points required for a free movie ticket.
Target points for a free movie ticket = 155
Sign-up bonus = 20
Remaining points needed = Target points for a free movie ticket - Sign-up bonus
Remaining points needed = 155 - 20
Remaining points needed = 135
Step 3: Calculate the number of visits Nora needs to earn enough points for a free movie ticket
To determine the least number of visits Nora needs to make, we can divide the remaining points needed by the number of points earned on each visit.
Number of visits needed = Remaining points needed / Points earned per visit
Number of visits needed = 135 / 12.5
Using division, we find that Nora needs to make at least 10.8 visits to earn enough rewards points for a free movie ticket.
However, since we can't have a fraction of a visit, we need to round up to the nearest whole number.
Therefore, the least number of visits Nora needs to make in order to earn a free movie ticket is 11 visits.