The most common use of radioactive isotopes in medicine is to diagnose disease. Typically, radioactive materials are injected into the body and then radiation-detecting cameras are used to build images of affected body parts or particular types of cells. The equation shown models the amount of a radioactive isotope y(t) in the bloodstream t minutes after it is injected. y = y_{0}e^{-0.005t}
a. Does this model represent a situation of exponential growth or decay? Explain how you know.
b. What is the rate of growth or decay?
c. What do you think the constant represent in this model?
d. The isotope is no longer useful in diagnostic tests when 95% of the sample has decayed. Determine how long a sample will be useful in a diagnostic lab. Be sure to show how you determined your solution.
e. One student suggested a better representation of this function model would be . Explain why you agree or disagree with this student.

b.my answer is b.

brainliest

if x = 1, then the answer is 3.5

when functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. these won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. small sets of points are generally the simplest sorts of relations, so your book starts with those.

step-by-step explanation:

state the domain and range of the following relation. is the relation a function?

{(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

the above list of points, being a relationship between certain x's and certain y's, is a relation. the domain is all the x-values, and the range is all the y-values. to give the domain and the range, i just list the values without duplication:

domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

(it is customary to list these values in numerical order, but it is not required. sets are called "unordered lists", so you can list the numbers in any order you feel like. just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)

while the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.

note that all i had to do to check whether the relation was a function was to look for duplicate x-values. if you find any duplicate x-values, then the different y-values mean that you do not have a function. remember: for a relation to be a function, each x-value has to go to one, and only one, y-value.

state the domain and range of the following relation. is the relation a function?

{(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)}

i'll just list the x-values for the domain and the y-values for the range: