Question

According to international guidelines, a basketball should be inflated such that when dropped from a height of 1.8 meters , the ball should bounce and rebound to a height of at least 1.2 meters but no more than 1.4 meters

Answer 1

Part 1

Find out the common ratio

1.35/1.80=0.75

therefore

the common ratio is 0.75

Part 2

the initial height is 1.80 meters

therefore

the exponential function is

$f(x)=1.80(0.75)^x$