Rodger is riding in a bike-a-thon to raise money for his favorite charity. the total distance of the bike of stone is 38.7 miles. so far he has completed one tenth of the bike-a-thon. how many mouse has rodger bike?

180

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

there are many, many solutions to this problem.

here are 5 examples:

7555531, 7+5+5+5+5+3+1 = 31

7155553, 7+1+5+5+5+5+3 = 31

7735531, 7+7+3+5+5+3+1 = 31

7375531, 7+3+7+5+5+3+1 = 31

7335931, 7+3+3+5+9+3+1 = 31