If the sides perpendicular to the wall have length x feet, which of the following (A, B, C, or D) represents the area A of the garden?
A(x) = –2x2 + 30x
A(x) = –2x2 + 60x
A(x) = x2 – 60x
A(x) = 2x2 – 60x
Please only post your questions once. Repeating posts will not get a quicker response. In addition, it wastes our time looking over reposts that have already been answered in another post. Thank you.
See your following post.
that did not help me at all so i think you need to start over oh and not being rude but that's not how you do it bye thxs for trying to help
To find the area A of the garden, we need to use the formula for the area of a rectangle, which is A = length x width.
Here, the sides perpendicular to the wall are of length x feet. So, the width of the garden is x feet.
Now, we need to find the equation that represents the area of the garden.
Option A(x) = –2x^2 + 30x: This equation represents a quadratic function with a negative coefficient for the x^2 term, meaning it is a downward-opening parabola. Also, the coefficient of the x^2 term implies that the area decreases as the value of x increases. Therefore, this option does not represent the area A of the garden.
Option B(x) = –2x^2 + 60x: Similar to the previous option, this equation also represents a downward-opening parabola. However, the coefficient of the x term is larger, suggesting that the area increases at a faster rate as the value of x increases. This means that this option represents the area A of the garden.
Option C(x) = x^2 – 60x: This equation represents a quadratic function with a positive coefficient for the x^2 term, indicating an upward-opening parabola. The area values for this equation will have a minimum value at the vertex and then increase as x deviates from the vertex. Therefore, this option does not represent the area A of the garden.
Option D(x) = 2x^2 – 60x: Like the previous option, this equation also represents an upward-opening parabola. However, the coefficient of the x^2 term is larger, suggesting a steeper increase in area compared to option B. Therefore, this option does not represent the area A of the garden.
To summarize, the equation that represents the area A of the garden is A(x) = –2x^2 + 60x, which corresponds to option B.