Which of the following best describes an economic trend that emerged in the 19th century, as illustrated in Source 1? European countries needed to obtain raw materials to support expanding industrialization.

Imperialism caused an increase in trade that focused on obtaining necessities that were not available in Europe.

Economic globalization caused population booms in Europe, necessitating foreign trade for food.

European countries encouraged imperialism to expand foreign trade in profitable luxury goods.

Answer(a) cheap enough for small shops to purchase;

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.