Question

It takes 1 worker 15 hours to paint a room. it takes 3 workers 5 hours to paint the same room. martin wrote the function y = -5x + 20 to model the number of hours requires for x workers to paint the room. did he choose the correct kind of equation to model the situation? if so, did he write the correct equation? if not, what equation should he have written?

PLEASE HELP MUCH APPRECIATED ​

Answer 1

• the equation kind is incorrect

• the equation is incorrect

• the equation should be: y = 15/x

Explanation:

We observe that the data tells us the time is inversely proportional to the number of workers, and that the product of time and workers is 15 worker·hours. The form for inverse proportionality is ...

y = k/x

or

xy = k

Our observation tells us k = 15 (worker·hours), so our model equation is ...

y = 15/x . . . . . where x is the number of workers, and y is the hours to paint the room