Freya is training for a track race. She starts by sprinting 200 yards. She gradually increases her distance, adding 5 yards a da
3 answers:
Solution:
we are given that
Freya is training for a track race. She starts by sprinting 200 yards. She gradually increases her distance, adding 5 yards a day for 21 days.
The explicit formula that models this situation is
we have been asked to find how far does she sprint on day 21?
Substitute the value of n=21 in the given explicit formula we get
Simplify we get
Hence the correct option is A.
You might be interested in
Using an exponential function, it is found that the Tequesta settlement is 1845 years old.
<h3>What is an exponential function?</h3>The exponential equation for a decaying amount of a substance is given by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
Researching on the internet, the half-life of carbon 14 is of 5,730 years, hence A(5730) = 0.5A(0), which we use to find r.
Hence, the equation is:
The wood chips were found to contain 80% of the atmospheric carbon-14, hence we have to find t for which A(t) = 0.8A(0).
The Tequesta settlement is 1845 years old.
You can learn more about exponential functions at brainly.com/question/25537936