Question Bank / Math / Linear Equations in Two Variables

Linear equations in two variables SAT question

Math · Algebra · Easy · Answer it here, explanation included.

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?

ExplanationShow

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.

Drill this skill on Aceit

Adaptive practice, a daily plan, and score tracking take a free account so we can save your work.

Practice this skill

Linear equations in two variables SAT question

More Linear equations in two variables questions