Question

The table shows the linear relationship in a tank and time.

Answer 1

$y = mx + b$

y = slope (x) + y - intercept

To find the slope we need to find out how much the x's and y's increase or decrease...

To find the y - intercept if any, simply​ look for coordinates ( 0 , y ) or 0 and a #.

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In this case, as time passes, the water level decreases therefore we have a negative slope.

Time is our x and amount (ft) is our y.

On the x side it increases by 2

On the y side it decreases by 10

Now do y over x ==> 10 over 2 and get 5 ==> m

-5 is our slope and 50 is our y - intercept

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The "rate of change" is another word for slope.

Well, slope is - 5ft is our slope.

$y = - 5x + 50$

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I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey