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? much appreciated

• the equation kind is incorrect

• the equation is incorrect

• the equation should be: y = 15/x

Step-by-step 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

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!