Nahuel and his family are going to spend the day in New York City. Nahuel and his dad are looking for parking. Lot 1 charges $30 for the first 2 hours and $8 an hour for each additional hour. Lot 2 charges $40 for the first two hours and $5 for each additional hour. Nahuel and his father need to park for 6 hours. Which lot should they choose?

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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