The function f(x)=5000(0.98)^0.3x represents the number of white-blood cells, per cubic millimeter, in a patient x days after beginning treatment for a virus. what is the average decrease per day in white-blood cells per cubic millimeter between days 1 and 5? a.) −29.75 mm^3/day .75 mm^3/day .47 mm^3/day .08 mm^3/day

The answer is A.)
f(x)=5000(0.98)^0.3x   What is x=1 and x=5?

f(1)=5000(0.98)^0.3(1)       <<Plug in 1
 = 5000(0.98)^0.3              <<Multiply 1
 =5000(0.993957517)       <<mulitply 0.3 with 0.98
 =4969.78759                    <<mulitply the answer to ^^ with 5000
 =4970                               <<Round

f(5)=5000(0.98)^0.3(5)      <<plug in 5
 = 5000(0.98)^1.5              <<Mulitply 5
 =5000(0.970150504)      <<multiply 1.5 with 0.98
 =4850.75252                   <<muliply the answer to ^^ with 5000
 = 4851                              << round

Next, you do (y2 - y1)/(x2-x1)
 
(4970 - 4851)/(1 - 5)          <<plug in numbers (btw you get the 1 and 5 from                                                                                    plugging them in in the beginning)
=(119)/(4)                               <<Subtract 
 = -29.75                              << divide 

I hope this helps!!

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