PLEASE HELP, BEEN STUCK FOR AN HOUR!! Function f is an exponential function that has an initial value of 64 and decreases by 50% as x increases by 1 unit.

Function g is represented by the table.

x01234
g(x)7543271915

Which statement correctly compares the two functions on the interval [0, 4]?

A.
Both functions are decreasing at the same average rate on that interval.
B.
Function f is decreasing, but function g is increasing, on that interval.
C.
Both functions are decreasing, but function f is decreasing at a faster average rate on that interval.
D.
Both functions are decreasing, but function g is decreasing at a faster average rate on that interval.

C. 

Both functions are decreasing, but function f is decreasing at a faster average rate on that interval.

Step-by-step explanation:

Let first work out g(x)

When x = 0

g(x) = 75

When x = 1

g(x) = 75( 1 - 50%)

g(x) = 75(0.5) = 37.5

Which is less than 43

With this, we can conclude that:

Both functions are decreasing, but function f is decreasing at a faster average rate on that interval.

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)