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

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680

dalila is incorrect. the whisker on the left is very long, going all the way out to 5. the whisker goes from 5 to 30, so it has a spread of 25. the rest of the box plot values are closer together, so 5 is an outlier