You work as a coordinator for data entry projects. on one project, the status shows that 15% of the work was completed in 6 days. if the work progresses at the same rate, how many more days will be required to complete the remainder of the project.

36 more days

Step-by-step explanation:

it averages out to 2.5% per day

StPart 1) The expression is  

Part 2) The area of the schoolyard when x=40 m is A=2,800 m^2

Part 3) The domain is all real numbers greater than zero and less than 75 meters

Step-by-step explanation:

Part 1) Write an expression for A(x)

Let

x > the length of the rectangular schoolyard

y ---> the width of the rectangular schoolyard

we know that

The perimeter of the fencing (using the wall of the school for one side) is

so

> equation A

The area of the rectangular schoolyard is

---> equation B

substitute equation A in equation B

Convert to function notation

Part 2) What is the area of the schoolyard when x=40?

For x=40 m

substitute in the expression of Part 1) and solve for A

Part 3) What is a reasonable domain for A(x) in this context

we know that

A represent the area of the rectangular schoolyard

x represent the length of of the rectangular schoolyard

we have

This is a vertical parabola open downward

The vertex is a maximum

The x-coordinate of the vertex represent the length for the maximum area

The y-coordinate of the vertex represent the maximum area

The vertex is the point (37.5, 2812.5)

using a graphing tool, see the attached figure

therefore

The maximum area is 2,812.5 m^2

The x-intercepts are x=0 m and x=75 m

The domain for A is the interval > (0, 75)

All real numbers greater than zero and less than 75 meters

ep-by-step explanation: