$1)$A beachball is tossed from the top of a swimming pool sliding board. The formula

h $=4\mathrm{.}9$t$2+8\mathrm{.}7$t $+5\mathrm{.}975$

can be used to determine the height h in meters of the beachball at time t in seconds after it is released. When will the beachball hit the pool water $($in seconds$)?$ Round to the nearest tenth. $2)$A jazz group on tour has been drawing average crowds of $700$ people. It is projected that for every $$1$ increase in the $$11$ ticket price, the average attendance will decrease by $70.$ At what ticket price will nightly receipts be $$6,860?3)$ Jake drives a moped from one town to another, a distance of $180$ kilometers. He drives $6$ kilometers per hour faster on the return trip, cutting $1$ hour off the time.

Let r represent the rate $($in kph$)$ at which Jake drove on the initial trip. Write expressions, in terms of r$,$ to represent the rate at which he drove on the return trip, and the time each trip took. Complete the following table.Write an equation, in terms of r$,$ that relates the times of the two trips.How fast does he drive each way in kilometers per hour?