Question

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 rate of change in white blood cells between days 1 and 5? ​ −29.75 mm3/day ​ ​ −34.75 mm3/day ​ −282.47 mm3/day −353.08 mm3/day

Answer 1

The Answer: -29.75 mm³/day

Explanation:

Answer 2

f ( x ) = 5000 * ( 0.98 ) ^(0.3 x)
f ( 1 ) = 5000 * 0.98^(0.3) = 5000 * 0.99396 = 4,969.788
f ( 5 ) = 5000 * 0.98 ^(5*0.3) = 5000 * 0.98^(1.5) = 5000 * 0.97 = 4,850.753
Average rate of change:
( 4,850.753 - 4,969.788 ) / ( 5 - 1 ) = - 29.75
Answer:
A ) - 29.75 mm³/day