The cost cc (in dollars) for the care and maintenance of a horse and carriage is c=15x+2000c=15x+2000, where xx is the number of rides.

a. write an equation for the revenue rr in terms of the number of rides.
r=r=
35x

b. how many rides are needed to break even?

rides are needed to break even.

table 3 represents a direct variation function. : )

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