Johnathan and Darius both tutor students part time on the weekends to earn extra money. Johnathan starts tutoring at 9:00am and earns $80.00 for every 3 hours he tutors. Darius starts at 10:30am and earns $30.00 every hour he tutors. If they keep on tutoring until Darius has earned the same amount of money as Johnathan, how much will they each earn?

the answer is b i just did that

step-by-step explanation:

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

answer: 0.26

i used the calculator on google