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.
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
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...}
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