Equation of a tangent line of a curve is:
y- y0 = f´ (x0) (x - x0 ). In this case: x0=1, y0=1
f´(x)=

(Derivation)
f´(x0)=

y - 1 = 1/2 ( x - 1 )
y - 1 = 1/2 x - 1/2
y = 1/2 x - 1/2 + 1
y =
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➷ Since vertical angles are equal, we know this:
3x + 50 = 6x - 10
Now we just need to solve for x.
Subtract 3x from both sides:
50 = 3x - 10
Add 10 to both sides:
60 = 3x
Divide both sides by 3:
x = 20
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The answer is 1/5 because there’s 5 shirts but a 20% change which is also 1/5 she’ll pick the blue one.