**A camp leader figures that she needs one tent for every three campers, plus a tent for herself. Define a variable and write an expression to represent the number of tents needed.**

Guest Jan 28, 2015

#2**+5 **

For the second....let the number of campers = N and the total tents = T so we have

T = ceiling(N/3) + 1

The "ceiling" is defined as .. the least integer that is greater than or equal to (N/3)

Thus, if we had 21 campers ... ceiling(N/3) = ceiling(21/3) = ceiling(7) = 7

However, if we had 22 campers ... ceiling(22/3) = ceiling(7 + 1/3) = 8

The reason for using this is that we need an "extra" tent for any "fractional" campers

CPhill
Jan 28, 2015

#1**+5 **

For the first one, let the total cost = C and the time worked =T

So we have

C = 40T + 50

{The "40T" is known as the "variable" cost and the "50" is the "fixed" cost...}

CPhill
Jan 28, 2015

#2**+5 **

Best Answer

For the second....let the number of campers = N and the total tents = T so we have

T = ceiling(N/3) + 1

The "ceiling" is defined as .. the least integer that is greater than or equal to (N/3)

Thus, if we had 21 campers ... ceiling(N/3) = ceiling(21/3) = ceiling(7) = 7

However, if we had 22 campers ... ceiling(22/3) = ceiling(7 + 1/3) = 8

The reason for using this is that we need an "extra" tent for any "fractional" campers

CPhill
Jan 28, 2015