PLEASE HELPPP!!!!!!!!!!!!!!!!!!!!!Mr. Elliot needs to drain his above ground pool before the winter. The graph below represents the relationship between the number of gallons of water remaining in the pool and the number of hours that the pool has drained. Determine the rate of change for this relationship and explain what it means in this situation.

Question

contestada

Respuesta :

wagonbelleville wagonbelleville · Answer 1 · 2019-01-22T06:40:48+01:00

Answer:

B. Water is draining at a rate 720 gal/min

Step-by-step explanation:

We have the graph showing the relation between the number of gallons of water (y) and the number of hours (x).

Also, two co-ordinates expressing this relation are given by ( x,y ) = ( 0,10080 ) and ( 2,8640 ).

The rate of change of two co-ordinates [tex]( x_{1},y_{1} )[/tex] and [tex]( x_{2},y_{2} )[/tex] is [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex].

So, using this formula, we will find the rate of change of the given relation.

i.e. Rate of change = [tex]\frac{8640-10080}{2-0}[/tex]

i.e. Rate of change = [tex]\frac{-1440}{2}[/tex]

i.e. Rate of change = -720

Thus, we see that the rate of change for this relation is -720.

Since, the rate of change is negative. This means that the water in the pool is decreasing at a rate of 720 gal/min.

Hence, we get that, 'Water is draining at a rate of 720 gal/min'.