Question

while sandra is solving for y in terms of x, she sets up her problem and shows her work. in which step does her first error occur? assume the sides that look parallel are parallel.
step 1: \\( \frac { y } { 2 } = \frac { x + 1 } { 12 } \\)
step 2: \\( 12 y = 2 ( x + 1 ) \\)
step 3: \\( y = \frac { 2 ( x + 1 ) } { 12 } \\)
step 4: \\( y = \frac { x + 1 } { 6 } \\)

Explanation:

Step1: Apply the basic proportionality theorem (Thales' theorem)

If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally. So, \(\frac{y}{12}=\frac{3}{x + 1}\) (not \(\frac{y}{12}=\frac{x + 1}{2}\) as in Step 1). Sandra made an error in setting up the proportion in Step 1.

Answer:

Step 1.