Digital SAT Math Test 3 Question 11

The total cost $C(r)$, in dollars, to rent a room for 12 months at a particular house is given by $C(r)=2,500+12r$, where $r$ is the monthly rent, in dollars. What is the total cost to rent a room when the monthly rent is $1,250?
Answer:
C

Explanation

The correct answer is Choice C.

Substitute $r=1,250$ into the given function to find the total cost to rent a room for 12 months.

Choice A is incorrect and may result from finding $2,500+1,250$ which covers only a month worth of rent, not 12 months.

Choice B is incorrect and may result from finding $2,500+10\times1,250$ which covers only 10 months’ worth of rent, not 12 months.

Choice D is incorrect and may result from mistaking $2,500$ as the monthly rent, while using$1,250$ as the deposit.

✨ Expert's Tip ✨

Another method is to plot the function on a graph and read the value of the function when $r=1,250$.

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