In baseball, the flight of a pop-up may be described as d=-16t^2+80t+3.5 where d gives the ball's height above the ground in feet as a function of time t. How long does the catcher have to get into
position under the ball after the ball is hit

Minimum hours that should continue filling is t =19 hours

Step-by-step explanation:

Let t be the number of hour.

As per the given condition:

a water tank has 22 gallons of water. It begins to receive 26 gallons per hour for a number of hours

⇒ 22 + 26t

also, if the tank needs to fill at least 516 gallons.

at least means

then the inequality equation is in the form of:

Subtract 22 to both sides of an equation:

Simplify:

Divide both sides by 26 we get;

Simplify:

The minimum number of hours that the tank should continue filling is 19 hours