Question

The weight of a radioactive substance after \( t \) years is given by \( W=1500 \times(0.993)^{t} \) grams. a Find the original amount of radioactive material. b Find the amount of radioactive material remaining after: i 400 years ii 800 years. c Sketch the graph of \( W \) against \( t, t \geqslant 0 \), using the above or technology. d Hence, find the time taken for the weight to reduce to 100 grams.

          The weight of a radioactive substance after \( t \) years is given by \( W=1500 \times(0.993)^{t} \) grams.
a Find the original amount of radioactive material.
b Find the amount of radioactive material remaining after:
i 400 years
ii 800 years.
c Sketch the graph of \( W \) against \( t, t \geqslant 0 \), using the above or technology.
d Hence, find the time taken for the weight to reduce to 100 grams.

The weight of a radioactive substance after t years is given by W=1500 ×(0.993)^t grams.
a Find the original amount of radioactive material.
b Find the amount of radioactive material remaining after:
i 400 years
ii 800 years.
c Sketch the graph of W against t, t ⩾ 0, using the above or technology.
d Hence, find the time taken for the weight to reduce to 100 grams.

Added by Dolores J.

Higher Level Mathematics

Ibrahim Wazir, Tim Garry, Peter… 2012 Edition

Chapter 5

Instant Answer

Solved by Expert Victor Salazar

05/06/2022

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\[ W = 1500 \times (0.993)^t \] Show more…

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The weight of a radioactive substance after \( t \) years is given by \( W=1500 \times(0.993)^{t} \) grams. a Find the original amount of radioactive material. b Find the amount of radioactive material remaining after: i 400 years ii 800 years. c Sketch the graph of \( W \) against \( t, t \geqslant 0 \), using the above or technology. d Hence, find the time taken for the weight to reduce to 100 grams.