Question

Which function best represents the problem situation and the cost for renting a 2 bedroom/ 2 bath apartment for 6 months?

A. C(m)=(50+850)m; C(m)=$5,400
B. C(m)=850m+50; C(m)=$5,150
C. C(m)=850m; C(m)=$5,100
D. C(m)=50m+850; C(m)=$1,150

Answer 1

The function that best represents the cost for renting a 2 bedroom/2 bath apartment for 6 months, with a monthly rent of $850 and a one-time fee of $50, is Option B: C(m) = 850m + 50; where C(6) equals $5,150.

Step-by-step explanation:

The function that best represents the cost for renting a 2 bedroom/2 bath apartment for 6 months is given by one of the options provided. When considering such problems, we assume a linear function where C(m) is the total cost for m months and that there is a flat rental rate with an additional one-time fee or service charge.

The correct option can be found by analyzing the structure of each function and the final cost given for the 6-month period. Specifically, looking for a function where m represents the number of months and the cost reflects the product of the monthly rate and the number of months, plus any additional fees.

The most appropriate choice that represents a monthly rent of $850 plus a one-time fee of $50 is Option B: C(m) = 850m + 50. If we substitute 6 for m (6 months rental), we get C(6) = 850(6) + 50, which results in a total cost of $5,150.