Question

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answer 1

$\\ \rm\longmapsto f(x)=40(0.6)^x$

Now

• x=4

$\\ \rm\longmapsto f(4)$

$\\ \rm\longmapsto 40(0.6)^4$

$\\ \rm\longmapsto 40(1.3)$

$\\ \rm\longmapsto 5.2ft$

Option A

Answer 2

Answer:

5.2 ft (nearest tenth)

Step-by-step explanation:

Given function:  $f(x)=40(0.6)^x$

where:

• $f(x)$ = height of each bounce (in ft)
• $x$ = number of bounces

To determine the height of the 4th bounce, substitute $x=4$ into the function:

$\implies f(4)=40(0.6)^4$

              $=40 \cdot 0.1296$

              $=5.184$

              $=5.2 \textsf{ ft (nearest tenth)}$