The water level, w, in feet, of a river after a rainstorm is a function of the time, t, in hours, since the storm began. The table below shows the water level readings collected at different times.


Hours Since Storm Began (t) Water Level (w)
1 18.7
1.5 19.1
2 19.5


Write a linear function that models the data in the table.

w(t)= _[blank]_
I got the function/equation w(t)= 0.4x - 18.3
But I am not sure if that is correct because I had searched up a video on how to write a linear function using a table but I was really confused/their question was easy too.

The answer was incorrect thanks!

I TOOK THE EXAM AND GOT THIS RIGHT!!!

if you go back in the lesson they walk u through on how to do it its::
0.8t+17.9
everyone got it wrong cause they used the wrong variables in the question.

so what is the answer????

So what is the answer?

The correct answer is 0.8t + 17.9

read ooblecks answer and you'll find it~

w(t)= 0.8x + 17.9

clearly w(t)= 0.4x - 18.3 is wrong, because the point (1,18.7) does now work.

Note that as x grows by 0.5, y grows by 0.4
That means the slope is 0.4/0.5 = 0.8
So, first guess is w(t)= 0.8x + b
Mow plug in (1,18.7) and find that b = 17.9
So, w(t)= 0.8x + 17.9