Question

A radioactive compound with mass 240 grams decays at a rate of 4.5% per hour. Which equation represents how many grams of the compound will remain after 6 hours?

Answer 1

The grams of the compound that will remain after 6 hours is 182.07 grams

How to write exponential function

The standard exponential function is expressed as:

$y=A(1-r)^{t}$

Given the following parameters:

A = 240

r = 0.045

Substitute

$y=240(1-0.045)^t$

The grams of the compound that will remain after 6 hours is expressed as:

$y=240(1-0.045)^6\\y=240(0.7586)\\y=182.07 grams$

The grams of the compound that will remain after 6 hours is 182.07 grams

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