Daniela has a container full of marbles. She gives away some of her marbles every day for five days. Each day, she has 1/4 the number of marbles she had a previous day. What fraction of the original number of marbles does Daniela have left after five days?

Given:

Daniela gives away some of her marbles every day for five days.

Each day, she has the number of marbles she had a previous day.

To find:

The fraction of the original number of marbles Daniela have left after five days.

Solution:

Let the origin number of marble be x.

Number of marbles after one day =

Number of marbles after two days =

                                                        =

Similarly,

Number of marbles after three days =

Number of marbles after four days =

Number of marbles after five days =

                                                         =

Since, is multiplied with x, therefore, the number of marbles Daniela have left after five days is part of original number of marbles.

  about 5.6 days

step-by-step explanation:

we can fill the given information into the decay equation and solve for the value of t at which half the sample remains.

the half-life is about 5.6 days.

the slope of the first function is -3. (3/1)

the slope of the second function is 1. (13-10/6-3).

since |-3| is greater than |1|, the function with the steepest slope is the first.