Answer:
Voice data consumed: 118PB
Global data consumed: 144PB
Step-by-step explanation:
At a given month voice and data trafic are equal at 110 PB each
Rewriting the info into formulae will give us
Voice_Data=Prev_VD+2PB*Month
[tex]\left \{ {{Global\_Data_{(M+1)}=Global\_Data_{(M)}*\left(1+0.07\right)} \atop Global\_Data_{(M+2)}=Global\_Data_{(M+1)}\left(1+0.07\rigt)=Global\_Data_{(M)}\left(1+0.07\right)^2} \right. \\ \\
It follows: Global\_Data_{(M+N)}=Global\_Data_{(M)}}\left(1+0.07\right)^N[\tex]
where we rewrite the percentage as a ratio (dividing by 100)
One grows at a constant rate,and the other grows at a rate that depends on the Data already consumed.
Knowing that at one point they are the same, we can use that value as Previous voice data and previous global data:
Voice_Data=110PB+2PB*Month
Global_Data=110PB*(1+0.07)**Month
To see what happens after 4 months, simply replace the Month value by 4 and evaluate:
