Final answer:
The value of t representing the years after 1928 when the Conowingo Reservoir's capacity is between 290,000 and 292,000 acre-feet is 6 < t < 5.
Step-by-step explanation:
To find the value of t that represents the years after 1928 when the Conowingo Reservoir's capacity is between 290,000 and 292,000 acre-feet, we need to set up an inequality.
The reservoir's capacity after t years can be represented as:
Storage Capacity after t years = Original Storage capacity - Rate of reduction x t
Using the given information:
Original Storage capacity = 300,000 acre-feet
Rate of reduction = 1,700 acre-feet per year
We can set up the inequality:
290,000 < 300,000 - 1,700t < 292,000
Now, let's solve this inequality to find the possible values of t:
Subtract 300,000 from all three parts:
-10,000 < -1,700t < -8,000
Divide all three parts by -1,700 (remember to reverse the direction of the inequality because we are dividing by a negative number):
5.88 > t > 4.71
Round the values to the nearest whole number, since time cannot be a fraction:
6 > t > 5
Therefore, the value of t must be 6 < t < 5. None of the given answer choices align with this, so none of the options presented are true.