Question

The equation to model Exponential Decay is:
y = a[1 – r)
y= total amount
a= starting amount
r= the growth rate as a decimal
t= number of growth periods
Question 1 (1 point)
Sarah takes 550 mg of an antibiotic. Every hour,
her body breaks down 25% of the remaining drug.
How much will be left after 12 hours?
Guys help me please I really don’t understand this

Answer 1

Exponential functions are used to represent growth or decay of a substance. The amount that will be left after 12 hours is 17.42mg

How to model exponential equations

The standard form of an exponential equation is given as:

$y=a(1-r)^t$

where;

• y= total amount
• a= starting amount
• r= the growth rate as a decimal
• t= number of growth periods

Given the following parameters

a = 550mg

r = 0.25

t = 12

Substitute into the formula

$y=550(1-0.25)^{12}\\y = 550(0.75)^{12}\\y=17.42mg$

Hence the amount that will be left after 12 hours is 17.42mg

Learn more on exponential equation here: https://brainly.com/question/12940982