Last week, an interior designer earned a total of $ 1,258 from consulting for x hours and drawing up plans

Question

Last week, an interior designer earned a total of $ 1,258 from consulting for x hours and drawing up plans for y hours. The equation 68 x + 85 y = 1,258 represents this situation. Which of the following is the best interpretation of 68 in this context?

Accepted Answer

Choice A is correct. It's given that 68 x + 85 y = 1,258 represents the situation where an interior designer earned a total of $ 1,258 last week from consulting for x hours and drawing up plans for y hours. Thus, 68 x represents the amount earned, in dollars, from consulting for x hours, and 85 y represents the amount earned, in dollars, from drawing up plans for y hours. Since 68 x represents the amount earned, in dollars, from consulting for x hours, it follows that the interior designer earned $ 68 per hour consulting last week. Choice B is incorrect. The interior designer worked y hours, not 68 hours, drawing up plans last week. Choice C is incorrect. The interior designer earned $ 85 per hour, not $ 68 per hour, drawing up plans last week. Choice D is incorrect. The interior designer worked x hours, not 68 hours, consulting last week.

Question 62a434