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

The number of cars in the parking lot is n²

Step-by-step 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

figure c

step-by-step explanation:

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