We are planning a reception for our daughter. the hall that we are renting charges a $95 cleanup fee. in addition to the cleanup fee, they charge $31 per guest for food and drinks.

if we have $1,850.00 available, what is the maximum number of guest we can invite without going over our budget?

the maximum number of guests is

asap

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)