A rancher has a roll of fencing to enclose a rectangular area. The table shows how the area that the rancher can enclose with th
e fencing depends on the width of the rectangle.
Width (w)ft Area (A) ft2
10 900
20 1,600
30 2,100
Which quadratic equation gives the area A of the rectangle in square feet given its width in w feet?
A. A(w)= -w to the power of 2+200w
B. A(w)= -w to the power of 2+100w
C. A(w)= w to the power of 2+40w
D. A(w)= w to the power of 2+90w
2 answers:
Checking for each option
Option A:
Substitute w = 10 and check if we'd get 900 as the answer
Option B:
Substitute w = 10 and check if we'd get 900 as the answer
Option C:
Substitute w = 10 and check if we'd get 900 as the answer
Option D:
Substitue w = 10 and check if we'd get 900 as the answer
Answer: Option B
10, 900
and then the second one
B
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