The function f(x)=5000(0.98)^0.3xrepresents 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/dayb.)-34.75 mm^3/dayc.)-282.47 mm^3/dayd.-)353.08 mm^3/day
Accepted Solution
A:
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