1. **State the problem:** Calculate the percentage increase in the number of cars made from 2016 to 2017. 2. **Calculate total cars made in 2017:** In the first 6 months: $6 \times 25 = 150$ cars In the last 6 months: $6 \times 45 = 270$ cars Total in 2017: $150 + 270 = 420$ cars 3. **Use the percentage increase formula:** $$\text{Percentage increase} = \frac{\text{New} - \text{Old}}{\text{Old}} \times 100$$ 4. **Substitute values:** $$\frac{420 - 350}{350} \times 100 = \frac{70}{350} \times 100$$ 5. **Simplify the fraction:** $$\frac{\cancel{70}}{\cancel{350}} = \frac{1}{5}$$ 6. **Calculate percentage:** $$\frac{1}{5} \times 100 = 20\%$$ --- 7. **State the problem:** Find the company's income in 2016 given that 2017 income was 500,000 more and 8% higher than 2016. 8. **Set variables:** Let $x$ be the income in 2016. 9. **Express 2017 income in terms of 2016 income:** 2017 income = $x + 500,000$ 10. **Use the percentage increase relation:** 2017 income = $1.08x$ 11. **Set equation:** $$x + 500,000 = 1.08x$$ 12. **Solve for $x$:** $$500,000 = 1.08x - x = 0.08x$$ $$x = \frac{500,000}{0.08}$$ 13. **Calculate:** $$x = 6,250,000$$ **Final answers:** - Percentage increase in cars made: $20\%$ - Income in 2016: 6,250,000