Y is directly proportional to x. If y=15 when x=3,find y when x=30

Pls help​

150

Step-by-step explanation:

When y is directly proportional to x, y=kx and k=.

With the corresponding values we already know (3, 15), we can work out k.

k=, which is k= or k=5 when using those values.

Now that we know k, we can use it in the equation y=kx to get y.

We can substitute x for 30, as that's what we are working out, and k for 5 (as worked out above) to get y=30×5, which can be solved to y=150.

**This content involves rates of change/direct and inverse proportions, which you may wish to revise. I'm always happy to help!

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.