Question

The concentration of medicine in a patient's body after t hours is modeled by the expression 300(1-0.25)(ᵗ). What is the decay factor?

Answer 1

The decay factor in the expression 300
`(1-0.25)^(t)`, indicating that the medicine's concentration decreases to 75% of its previous amount each hour.

Step-by-step explanation:

The decay factor in the expression 300
`(1- 0.25)^(t)` for the concentration of medicine in a patient's body after t hours can be identified by looking at the base of the exponential function. The decay factor is the value by which the initial amount is multiplied each hour, which is 1 - 0.25, or 0.75. Thus, the decay factor indicates that 75% of the medicine's concentration from the previous hour remains in the patient's body at each successive hour.

Answer 2

The decay factor in the expression 300(1-0.25)t is 0.25.

Step-by-step explanation:

The decay factor in the expression 300(1-0.25)t represents the rate at which the medicine concentration decreases over time. In this case, the decay factor is 0.25. This means that the medicine concentration decreases by 25% for every unit of time.