The Washington family is taking a family trip to Washington and has 429.5 mi left before they get to the hotel. If they are traveling at a rate of 33 miles per gallon and they have 13 gallons of fuel left should Mr. Washington stop for gas?

Yes He should stop for Gas

Step-by-step explanation:

Step one:

given data

total distance left=429.5miles

we want to find the amount of gallons the car will consume for 429.5 miles

we are told that for 33 miles traveled the car will consume 1 gallon of gas

                hence for 429.5 miles the car will consume x gallons

cross multiply we have

x=429.5/33

x=13.0gallons

This shows that the tank will be empty for a 429.5 miles.

the answer is f(x)=2x-1

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