How fast will Fred need to move to save his chocolate chip cookies?
What is the half-life of the cookie stash that Fred has acquired?
(a) Determine the half-life of the cookie stash that Fred has just acquired. Round your answer to 3 decimal places.
Will Fred make it to Fred 2 before half of the cookies are gone? Why or why not?
(b) When Fred sneaks out of the cookie warehouse...I mean...completes his purchase at the cookie store, Fred is 30 minutes away from Fred 2. Will Fred make it to Fred 2 before half of the cookies are gone? Why or why not?
Answer:
The half-life of the cookie stash is approximately 23.157 minutes. Fred will not make it to Fred 2 before half of the cookies are gone.
Imagine the thrill of a race against time to save the delicious chocolate chip cookies! In this scenario, Fred needs to move quickly to prevent half of the stash from disappearing.
To calculate the half-life of the cookie stash, we can use the formula: half-life = (ln(0.5))/(-0.03). By simplifying this formula, we find that the half-life is approximately 23.157 minutes when rounded to 3 decimal places.
Now, if Fred is 30 minutes away from his friend Fred 2, he will not make it before half of the cookies are gone. In 30 minutes, the number of cookies will decrease by approximately 0.338, which means around 34% of the cookies will still remain.
It's a thrilling race against time for Fred and his beloved cookies. Will he make it in time or will the cookies disappear before he reaches Fred 2? The excitement is truly palpable!