1. **Stating the problem:** We have rent values for the years 2013 and 2014, and we want to find the rent for 2015. 2. **Given data:** - Rent in 2013 = 3500 - Rent in 2014 = 4000 - Rent in 2015 = ? 3. **Understanding the problem:** The rent increased from 3500 to 4000 from 2013 to 2014. We want to find the rent for 2015 assuming the same percentage increase continues. 4. **Formula for percentage increase:** $$\text{New Rent} = \text{Old Rent} \times (1 + \text{percentage increase})$$ 5. **Calculate the percentage increase from 2013 to 2014:** $$\text{percentage increase} = \frac{4000 - 3500}{3500} = \frac{500}{3500} = \frac{1}{7} \approx 0.1429$$ 6. **Calculate the rent for 2015:** $$\text{Rent}_{2015} = 4000 \times (1 + 0.1429) = 4000 \times 1.1429 = 4571.43$$ 7. **Answer:** The rent for 2015 is approximately 4571.43.