Question

ASAP 20 POINTS 5. Tiana and Shana are training for a mile swim. Each time they tried to get better times. The first week the best time for each of them was 70 minutes. Then Tiana had a best time of 66 minutes the second week, 67 the third week, 63 the fourth week and 64 the fifth week. Shana had a best time of 69 minutes the second week, 67 the third week, 66 the fourth week, and 64 the fifth week. If they continued at this rate, who would have the best time after 12 weeks of training? What would that time be? Show all work.​

Answer 1

Explanation:

Pattern for Tiana is: {-4} {+1}

If we continue this pattern, we can project her times for the next 7 weeks as follows:

Week 6: 64 - 4 = 60 minutes

Week 7: 60 + 1 = 61 minutes

Week 8: 61 - 4 = 57 minutes

Week 9: 57 + 1 = 58 minutes

Week 10: 58 - 4 = 54 minutes

Week 11: 54 + 1 = 55 minutes

Week 12: 55 - 4 = 51 minutes

Pattern for Shana is : {-1} {-2}

Week 6: 64 - 1 = 63 minutes

Week 7: 63 - 2 = 61 minutes

Week 8: 61 - 1 = 60 minutes

Week 9: 60 - 2 = 58 minutes

Week 10: 58 - 1 = 57 minutes

Week 11: 57 - 2 = 55 minutes

Week 12: 55 - 1 = 54 minutes

We see that Tiana has less time than Shana after 12 weeks.

In conclusion, Tiana will have the best time after 12 weeks of training, the time would be 51 minutes