Question

Nolan takes a photo of a parking lot every two hours. He counts the number of cars in each photo. Write an expression for the number of cars in the parking lot

Answer 1

The number of cars in the parking lot is n²

Explanation:

* Lets explain how to solve the problem

- From the attached picture

# Photo one has 1 car

# Photo two has 4 cars

# Photo three has 9 cars

# Photo four has 16 cars

- Look to the numbers of the cars in the photo, they are

1 , 4 , 9 , 16 all of these numbers are square numbers

∵ Photo 1 = 1 car ⇒ (1)²

∵ Photo 2 = 4 cars ⇒ (2)²

∵ Photo 3 = 9 cars ⇒ (3)²

∵ Photo 4 = 16 cars ⇒ (4)²

- The number of cars is square the number of photo

∴ The number of photo make a series

- Lets consider that there are n photos, where n is the position

of the photo in the series

∴ The number of cars in the photo = n²

∴ The number of cars in the parking lot is n²