Answer:
The number of registered trucks is 214.
Step-by-step explanation:
In order to find the number of trucks, you have to use the Exponential Growth Formula, because the given description represents a quantity (the number of trucks) increasing exponentialy over time with a rate of change proportional to the quantity.
The formula is:
![Y=a(1+r)^{t}](https://tex.z-dn.net/?f=Y%3Da%281%2Br%29%5E%7Bt%7D)
Where Y is the amount after time, a is the initial amount, r is the rate of growth and t is the time.
In this case:
a=100
r=10%=10/100=0.1 (Represented as a decimal number)
t=8
Replacing in the formula:
![y=100(1+0.1)^{8}](https://tex.z-dn.net/?f=y%3D100%281%2B0.1%29%5E%7B8%7D)
![y=100(1.1)^{8}=214.35](https://tex.z-dn.net/?f=y%3D100%281.1%29%5E%7B8%7D%3D214.35)
Rounding to the nearest whole number:
The number of trucks is 214.