Question

In 2012, 34.1% of all glass containers were recycled. A beverage company used 350,000 lb of glass containers per year. After recycling, the amount of glass, in pounds, still in use after t years is given by N(t) = 350,000(0,265)ᵗ. Find N(7), and explain its meaning.

Answer 1

N(7) is approximately 17,519.849404 pounds of glass that is still in use after 7 years of recycling.

Step-by-step explanation:

To find N(7), we need to substitute t = 7 into the function N(t) = 350,000(0.265)t. Let's calculate it step by step:

1. Substitute t = 7 into the function: N(7) = 350,000(0.265)7
2. Calculate the exponent: N(7) = 350,000(0.05005262884)
3. Multiply the values: N(7) ≈ 17,519.849404

Therefore, N(7) is approximately 17,519.849404 pounds of glass.

The meaning of N(7) is the amount of glass, in pounds, that is still in use after 7 years of recycling. It represents the remaining weight of the initial 350,000 pounds of glass containers after recycling for 7 years.

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