A wedding reception: You rent a wedding venue for a cost of $3200. The cost includes a catered lunch for 50 guests. For each additional guest, though, the catered lunch costs $31. a. What is the cost...

A wedding reception: You rent a wedding venue for a cost of $3200. The cost includes a catered lunch for 50 guests. For each additional guest, though, the catered lunch costs $31.

a. What is the cost of the venue and lunch if you invite 100 guests?

b. Find a formula showing the cost of the venue and lunch as a function of n, the number of guests. Assume that n is at least 50.

c. The amount you have budgeted for the venue and catered lunch is $5500. How many guests can you invite?