Terrence would like to reward himself after each goal he sets, but he's not sure what type of reward to choose. he's easily distracted and finds it hard to concentrate at times. which would be the best type of reward for terrence? a. a brief social network break b. a long nap c. a snack while he keeps studying d. watching a couple of tv shows

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.