Question

Tuy lồ,

18,
A radioactive compound with mass 480 grams decays at a rate of 15.1% per hour.
Which equation represents how many grams of the compound will remain after 2
hours?
OC=480(1-0.151)
OC=480(1-0.151) (1 - 0.151)
OC=480(1+0.151)²
OC=480(0.151)²
(1 -0.151) (1 - 0.151)

Answer 1

The correct equation to represent how many grams of the compound will remain after 2 hours is:

OC = 480(1 - 0.151)^2

Step-by-step explanation:

The initial mass of the compound is given as 480 grams.
The decay rate per hour is 15.1%, which means 100% - 15.1% = 84.9% of the compound remains after each hour.
Since we want to calculate the remaining mass after 2 hours, we need to apply the decay rate twice.
The equation (1 - 0.151)^2 represents applying the decay rate twice, resulting in the remaining fraction of the compound after 2 hours.
Multiplying this remaining fraction by the initial mass (480 grams) gives us the grams of the compound that will remain after 2 hours.

Therefore, the correct equation is:
OC = 480(1 - 0.151)^2