The colony will have grown by color(green)(61.051%) after 5 hours.
Explanation:
If p_t is the population of a colony after t time units and r is the growth factor per time unit: color(white)("XXX")p_t=p_0(1+r)^t
For the given values color(white)("XXX")p_5=p_0(1+0.10)^5 color(white)("XXXX") = 1.1^5p_0 color(white)("XXXX")= 1.61051p_0 (calculator used here) color(white)("XXXX")=p_0+0.61051p_0