1. **State the problem:** Newton recycled 79,270 tons of material this year, and the amount increases by 8% each year. We want to find how much material will be recycled 10 years from now. 2. **Formula used:** For exponential growth, the amount after $t$ years is given by: $$ A = P(1 + r)^t $$ where: - $P$ is the initial amount, - $r$ is the growth rate (as a decimal), - $t$ is the number of years, - $A$ is the amount after $t$ years. 3. **Identify values:** - $P = 79270$ - $r = 0.08$ - $t = 10$ 4. **Calculate:** $$ A = 79270(1 + 0.08)^{10} = 79270(1.08)^{10} $$ 5. **Evaluate the power:** $$ (1.08)^{10} \approx 2.1589 $$ 6. **Multiply:** $$ A \approx 79270 \times 2.1589 $$ 7. **Intermediate step with cancellation (conceptual):** $$ A = \cancel{79270} \times 2.1589 $$ 8. **Final calculation:** $$ A \approx 171,095.1 $$ 9. **Answer:** Newton will recycle approximately **171,095.1** tons of material 10 years in the future.