The area of this rectangle is given by the quadratic function

a = 50w - w2.

what is the reasonable domain for this function?
a) 0 < x < 50
b) 0 < x < 100
c) 0 < x < ∞
d) −∞ < x < ∞

The function uses W as the variable but the options show only x's as the variable, so I'm asumming W in the answer

0 < W < 50

Correct option: A

Step-by-step explanation:

Domain of functions

Some functions have restricted values of the independent variable x. It can be due to mathematical restrictions, like dividing by 0 or taking the square root of a negative number, of it can be due to practical conditions of the situation being modeled.

In this case, the area of a rectangle is given by the quadratic function.

Since the area of a rectangle cannot be negative (and should be positive, though it could be zero), the practical domain of A is determined when

Taking common factor W

Since W must be positive W>0

Or equivalently

The total interval is

Correct option: A

Please note: The real restriction should be

if we allowed the area to be positive, but I'm providing the most possible correct available option

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation: