A student cuts pieces of ribbon to decorate a banner the first piece of ribbon is 24 inches long. The next piece of ribbon is one-half the length of the piece before, and so on. What is the total length of the first 6 pieces of ribbon?
A) 0.75
B) 1.5
C) 23.25
D) 47.25

Option D) 47.25 in

Step-by-step explanation:

we know that

The equation of a exponential decay function is equal to

where

y is the total length

x is the number of pieces of ribbon

a is the initial value

r is the rate of change

we have

substitute

we have that

For x=0 ----->

For x=1 ---->

For x=2 ---->

For x=3 ---->

For x=4 ---->

For x=5 ---->

Adds the length of the first 6 pieces of ribbon

b

step-by-step explanation: