Question

A parking lot began with two times as many spaces in a row as rows. After being expanded, 7 more rows were added and 9 more spaces in each row. The maximum number of spaces that the parking lot will hold is 582.

If r represents the original number of rows, which of the following represents this situation?
A.
2r2 + 63 > 582

B.
2r2 < 645

C.
2r2 + 23r + 63 < 582

D.
2r2 + 23r > 645

Answer 1

D. 2r2 + 23r > 645

Explanation:

The equation "2r^2 + 23r > 645" represents the situation because it states that the number of spaces in the parking lot, represented by the left-hand side of the equation (2r^2 + 23r), is greater than the maximum number of spaces that the parking lot can hold (645). This is consistent with the information given in the problem, which states that the parking lot has been expanded and can now hold more spaces.

The other equations given (A, B, C) do not accurately represent the situation because they do not take into account the expansion of the parking lot and the addition of new rows and spaces.