Answer:
x = 312. 5 years.
Step-by-step explanation:
We know that the water level is rising at a rate of 1.6 mm per year and the water level is modeled by f = 1.6x where x is the number of years after 1880.
Now,
1 m = 1000 mm
therefore,
1/2 m = 500 mm
and so when we are making when the water level be half a meter, we are solving the equation
1.6x = 500
dividing both sides by 1.6 gives
x = 312.5 years
add the above to 1880 to get the year
1880 + 312. 5 = 2192.5
Hence in the year 2192. 5, the water level will be half a meter.