Your mom's new car gets 32 miles per gallon and gasoline costs $1.99 per gallon. you are going to see uncle buck for christmas, and you will be driving a total of 314 miles. about how much will be the gas for this trip cost?

expression #3 is not equivalent. the others are.

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