Question

200054000The mhsa batteria urowe rapidlyExamine the chart aboveWrite a function to represent the number of bacteria after n interHow many bacteria were there

Answer 1

a) a = 2500, the initial price

b) r = 0.75 is the factor of the devaluation of that machine.

c) B is the factor of that devaluation

d) 75%

e) $593.26

1) Data

Initial price: $2500

M(t) = 2500(0.75)^t

2) Since an exponential function can be written generally as:

$y=a(b)^x$

a) Then we can identify "a" as the initial value, therefore a = 2500

b) r = 0.75 is the factor of the devaluation of that machine, in this case.

c) B is the factor of that devaluation, overtime the machine devaluates 0.75 of its value.

d) To write 0.75 as a percentage we need to multiply it by 100. So 0.75 (or simply .75 is 75%

e) To find out the value of that machine within a period of 5 years let's plug t=5 into the formula:

$\begin{gathered} M(5)=2500(0.75)^5 \\ M(5)\text{ =593.26} \end{gathered}$

So 5 years after the purchase the machine worths $593.26