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
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Answer:
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