Answer
See below
Work Step by Step
Given: $(1,9.8);(2,12.2);(3,15.2);(4,19);(5,23.8)$
Find some values: $x=1 \rightarrow \ln y=2.28\\ x=2 \rightarrow \ln y=2.5\\x=3 \rightarrow \ln y=2,72\\x=4 \rightarrow \ln y=2.94\\x=5 \rightarrow \ln y=3.17$
Take two points $(1,2.28;5,3.17)$
Find the slope of the line passing through those two points: $m=\frac{3.17-2.28}{5-1}=\frac{0.89}{4}=0.2225$
Thus, $\ln y-2.28=0.2225(x-1)\\\ln y-2.28=0.2225x-0.2225\\\ln y=0.2225x+2.0575\\y=e^{0.2225x+2.0575}\\y=e^{0.2225x}(e^{2.0575})\\y=7.83(1.25)^x$
