12 students in drama club want to go on a field trip to watch a Broadway musical in NYC. The ticket price is $45 for each student, and the transportation and meals for everyone would cost $100. To pay for the trip, the students wash cars for a profit of $15 per car. What is the minimum number of cars the students need to wash to pay for the entire cost of the trip

boxplot

i’m here for points.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204