John needs a plumber to repair the kitchen drain. The plumber charges $85 for the parts that he will need for the repair plus $30 for each hour worked. The maximum amount of money john can spend is $250. Which inequality would represent this situation if x is the number of hours worked?

Step-by-step explanation:

Cost of each part is

Cost of working one hour is

Let number of hours worked be and

number of parts bought be .

The maximum amount of money that John can spend is .

From the question we have

The required inequality is .

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