Explanation
Correct answer: A.
Choice A is correct. It's given that the cost of renting a carpet cleaner is $ for the first day and $ for each additional day. Therefore, the cost , in dollars, of renting the carpet cleaner for days 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 .
Desmos solution:
Note: Test points to verify that C(1)=52 for the first day and C(2)=78 for the second day.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice B
Choice B is incorrect. This function gives the cost of renting a carpet cleaner for days if the cost is $, not $, for the first day and $ for each additional day.
Choice C
Choice C is incorrect. This function gives the cost of renting a carpet cleaner for days if the cost is $, not $, for the first day and $, not $, for each additional day.
Choice D
Choice D is incorrect. This function gives the cost of renting a carpet cleaner for days if the cost is $, not $, for the first day and $, not $, for each additional day.
Student discussion
jarvis 0 likes
Note: The first day costs 52, so d-1 additional days cost 26 dollars each.