1. **Problem 12:** Noah's maximum heart rate is 208 beats per minute. His target heart rate is between 70% and 85% of 208. After running, his heart rate is 156 beats per minute. Did he meet his target heart rate? 2. Calculate 70% of 208: $$0.70 \times 208 = 145.6$$ 3. Calculate 85% of 208: $$0.85 \times 208 = 176.8$$ 4. Noah's target heart rate range is between 145.6 and 176.8 beats per minute. 5. Noah's actual heart rate after running is 156 beats per minute. 6. Since 156 is between 145.6 and 176.8, Noah did meet his target heart rate. --- 7. **Problem 13a:** Scott's pay increased from 12 to 15 per hour. Find what percent 15 is of 12. 8. Use the formula for percentage: $$\text{Percent} = \left(\frac{15}{12}\right) \times 100 = 125\%$$ 9. So, 15 is 125% of 12. --- 10. **Problem 13b:** What does 125% represent? 11. It means Scott's new pay rate is 125% of his old pay rate, or a 25% increase in his hourly wage. **Final answers:** - Noah met his target heart rate because 156 is within 70% to 85% of 208. - 15 is 125% of 12. - This represents a 25% pay raise for Scott.