week 1 3 miles
week 2 7 miles
week 3 11 miles
week 4 15 miles
sophia predicted that jhon will run 32 miles during 9th week. use words symbols or numbers to explain wether sophia's prediction is correct
From the data, it seems that John increases the distance run by 4 miles each week. Extrapolate that to the 9th week.
To determine whether Sophia's prediction is correct, we need to analyze the pattern of John's running distance over time.
If we observe the given data, we can notice that the running distance is increasing by 4 miles each week.
Week 1: 3 miles
Week 2: 7 miles (3 + 4)
Week 3: 11 miles (7 + 4)
Week 4: 15 miles (11 + 4)
So, we can conclude that the running distance per week is increasing by 4 miles.
Now, let's use this information to predict John's running distance for Week 9:
Week 5: 15 miles + 4 miles = 19 miles (15 + 4)
Week 6: 19 miles + 4 miles = 23 miles (19 + 4)
Week 7: 23 miles + 4 miles = 27 miles (23 + 4)
Week 8: 27 miles + 4 miles = 31 miles (27 + 4)
Week 9: 31 miles + 4 miles = 35 miles (31 + 4)
According to the pattern we observed, John is projected to run 35 miles in the 9th week, not 32 miles as Sophia predicted. Therefore, Sophia's prediction is incorrect.