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What strategy would be the best to solve this problem?


To get into shape, Miles ran for 1 minute on Monday, 3 minutes on Tuesday, 6 minutes on Wednesday, and 10 minutes on Thursday. If he continues, how many minutes will Miles run on Sunday?

A. guess, check and revise

B. work backwards

C. use a formula

D. look for patterns

Respuesta :

mhanifa

Answer:

  • D. look for patterns

Step-by-step explanation:

Number the weekdays, and relevant time, then look for the pattern

  • Monday = 1, time = 1 min
  • Tuesday = 2, time = 3 min
  • Wednesday = 3, time  = 6 min
  • Thursday = 4, time = 10 min
  • Friday = 5, time = x
  • Saturday = 6, time = y
  • Sunday = 7, time = z

We get the series:

  • 1, 3, 6, 10, x, y, z

If you notice, the difference between the terms is:

  • 2, 3, 4, ...

It indicates the following terms are:

  • x = 10 + 5 = 15
  • y = 15 + 6 = 21
  • z = 21 + 7 = 28

Since z represents the seventh term, the running time on Sunday is 28 minutes.

As we see looking for patterns helped to solve the question.

Correct choice is D

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