Question

Erina runs 200 meters each day during the first week of her training. She plans to increase the distance she runs each week. Erina's training goal is to run 150% of the distance she ran each day in the previous week. She will run the same distance each day in a week. There are approximately 27.34 yards in 25 meters.QuestionIng Erina meets her goal, how many ,begin emphasis,yards,end emphasis, will Erina run each day in the third week of her training? Round the answer to the nearest hundredth. Enter the answer in the box.

Answer 1

To find out how far Erina will run each day in the third week, we first need to calculate the distance she runs each week based on her training plan.

1. First Week Distance:

   • Erina runs 200 meters each day.

2. Second Week Distance Calculation:

   • She plans to run 150% of the distance she ran in the first week: \[ \text{Distance for second week} = 200 , \text{meters} \times 1.5 = 300 , \text{meters, per, day} \]

3. Third Week Distance Calculation:

   • She will run 150% of the distance she ran in the second week: \[ \text{Distance for third week} = 300 , \text{meters} \times 1.5 = 450 , \text{meters, per, day} \]

4. Conversion to Yards:

   • Now, we need to convert the distance from meters to yards. We use the conversion given that there are approximately 27.34 yards in 25 meters.

   • First, calculate the number of yards in one meter: \[ 1 , \text{meter} \approx \frac{27.34}{25} , \text{yards} \approx 1.0936 , \text{yards} \]

   • Now convert the distance from meters to yards: \[ \text{Distance in yards} = 450 , \text{meters} \times 1.0936 , \text{yards/meter} \approx 450 \times 1.0936 \approx 492.12 , \text{yards} \]

Thus, if Erina meets her goal, she will run approximately 492.12 yards each day in the third week of her training.