The Recycling Club has $294 to purchase one set of recycling bins for each of the 14 members. Each of the 14 sets of bins will be identical to the others and cost the same amount. What is the greatest amount they can spend on one set of bins? Explain your reasoning.

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)

answer: they are supplementary angles

step-by-step explanation: 161+19=180. supplementary angles equal 180 degrees