Question

The area of a triangle whose height is 1 more than 6 times its base is 13 square feet. If the base of the triangle is x feet, which equation models this situation?
A. 6x^2 +x-12=0

B. 6x^2+x-13=0

C. 6x^2+x-26=0

D. 36x^2+6x-26=0

Answer 1

The correct answer is choice C.  Here is the reason.  If you substitute the information into the formula this is what it would be:
 A = bh/2
13 = x (6x + 1)/2
13 = (6x^2 + x)/2
26 = 6x^2 + x
0 = 6x^2 + x - 26