Using an exponential function, it is found that Erina will run 490.5 yards each day in the third week of her training.
<h3>What is an exponential function?</h3>An increasing exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the growth rate, as a decimal.
In this problem:
- 200 meters each day during the first week of her training, hence
.
- Erina's training goal is to run 150% of the distance she ran each day in the previous week, hence
Then, the equation is:
In the third week, the daily distance in meters that she runs is:
Since there approximately 27.34 yards in 25 meters, we apply the proportion:
Erina will run 490.5 yards each day in the third week of her training.
You can learn more about exponential functions at brainly.com/question/25537936