Too much logging in the oyamel fir forests could lead to the eastern monarch butterfly going extinct because a) the butterflies males spend their lives on the oyamel fir trees b) the winters are too cold in oyamel d) the butterflies feed on the oyamel fir trees e) the butterflies breed in the oyamel fir trees

The answer to that problem is A

You need to figure out at which x-value does the graph has a tangent line slope of -1.remember, the derivative is the slope of the tangent line. so find the derivative function and set it to equal -1 to find the x-value that will have a tangent line slope of 0.differentiate with the chain rule.    set the derivative to equal -1 and solve for x.      take log base 10 of both sides. also recall that  .    so the x-coord of the point of tangency is .the y-coordinate of this point of tangency can be calculated using the original function:     using point-slope form, the equation of the tangent line is      the x-intercept of this tangent line is when the graph is at y=0.    this rounds off to  .choice c.