Monica is planning a party to be held at the local community hall. She is told by the hall manager that the cost, C, varies partially with the number of guests, n, that attend; that is, for each additional guest, the cost increases by the same amount.
Determine the equation of the variation in the form of C = mn + b. State any restrictions on n.
Thus, the equation is
Ok, done, simple enough.
What is the signifigance of b?
B indicates a fixed cost, not dependent on N, such as a Base rental fee.
Use the formula to fill in the table.
What kind of sequence is illustrated in this table?
an arithmetic sequence, aka a linear sequence
The manager tells Monica that during the last 40 days, the hall has been rented 40 times. The number of guests for those 40 rentals can be arranged to form the following sequence:
11,12,13, ..., 49,50
What is the total amount of money collected by the hall manager for those 40 days?