Answer to Question #246168 in Algebra for Bev

Question

The ABM club wants to rent a bus for the yearly

educational trip. The rent of the bus is P10,000,

which will be divided among the members that agree

to join. At this moment, 8 students have already

signed up.

a. at this moment, what is the cost for each member?

b. by making a table, show what happen to the cost

per member as additional members agrees to join.

c. Write a function for the cost per member C(m)

related to the number of additional members m that

agree to join.

Answer 1

(a)

$$\dfrac{10000}{8}=1250$$

The cost for each member is P1250.

(b) Let $m=$ the number of additional members that agree to join.

$$\def\arraystretch{1.5} \begin{array}{c:c} m & C(m)\\ \hline 0 & 1250\\ 1 & 10000/9\approx1111.11\\ 2 & 1000\\ 3 & 10000/11\approx909.09\\ 4 & 10000/12\approx833.33\\ 5 & 10000/13\approx769.23\\ 6 & 10000/14\approx714.29\\ 7 & 10000/15\approx666.67\\ 8 & 625\\ 9 & 10000/17\approx588.24\\ 10 & 10000/18\approx555.56\\ 11 & 10000/19\approx526.32\\ 12 & 500\\ \end{array}$$

The cost per member $C(m)$ decreases from P1250 if the number of additional members $m$ increases from $0.$

(c)

$$C(m)=\dfrac{10000}{8+m}, m\geq 0$$