To estimate how many customers the internet service provider needs to reach their goal of at least 35,000 customers in ten years, we will first calculate the current number of customers they have after the net gain this year.
- Initial Customers Last Year: 17,156
- Net Gain this Year: 1,802
To find the current number of customers:
\[ \text{Current Customers} = \text{Initial Customers} + \text{Net Gain} \] \[ \text{Current Customers} = 17,156 + 1,802 = 18,958 \]
Next, we will calculate how many more customers they need to reach their goal of 35,000 customers:
\[ \text{Customers Needed} = \text{Goal} - \text{Current Customers} \] \[ \text{Customers Needed} = 35,000 - 18,958 = 16,042 \]
Thus, they need to gain 16,042 more customers over the next ten years to reach their goal.
Now, to find out how many customers they need to gain per year on average, we divide the total needed customers by the number of years (10 years):
\[ \text{Average Customers Needed Per Year} = \frac{\text{Customers Needed}}{10} = \frac{16,042}{10} = 1,604.2 \]
Therefore, the internet service provider needs to gain approximately 1,605 customers per year for the next ten years to reach their goal of at least 35,000 customers.