Question the-co
The cost of renting a backhoe for up to days is for the first day and for each additional day. Which of the following equations gives the cost , in dollars, of renting the backhoe for days, where is a positive integer and ?
The cost of renting a backhoe for up to 10 days is $ 270 for the
Hard-difficulty · SAT Math · Linear Functions — Graphs in slope-intercept, point-slope, standard form. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice D is correct. It's given that the cost of renting a backhoe for up to days is for the first day and for each additional day. Therefore, the cost , in dollars, for days, where , is the sum of the cost for the first day, , and the cost for the additional days, . It follows that , which is equivalent to , or .
Choice A is incorrect. This equation represents a situation where the cost of renting a backhoe is for the first day and for each additional day.
Choice B is incorrect and may result from conceptual or calculation errors.
Choice C is incorrect and may result from conceptual or calculation errors.
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