demarco starts with 10 milligrams of a radioactive substance. the amount of the substance decreases by 40%…

demarco starts with 10 milligrams of a radioactive substance. the amount of the substance decreases by 40% each week for a number of weeks, w. the expression 10(1 - 0.4)^w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? it is the initial amount raised to the decay factor after w weeks. it is the difference between the initial amount and the decay factor after w weeks. it is the product of the initial amount and the decay factor after w weeks. it is the difference between the initial amount and the percent decrease.

demarco starts with 10 milligrams of a radioactive substance. the amount of the substance decreases by 40% each week for a number of weeks, w. the expression 10(1 - 0.4)^w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? it is the initial amount raised to the decay factor after w weeks. it is the difference between the initial amount and the decay factor after w weeks. it is the product of the initial amount and the decay factor after w weeks. it is the difference between the initial amount and the percent decrease.

Answer

Explanation:

Step1: Identify components

Initial amount is 10 mg. Decay factor per - week is $(1 - 0.4)$. After $w$ weeks, decay factor is $(1 - 0.4)^w$.

Step2: Analyze the expression

The expression $10(1 - 0.4)^w$ is the product of the initial amount (10) and the decay factor after $w$ weeks $((1 - 0.4)^w)$.

Answer:

It is the product of the initial amount and the decay factor after w weeks.