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Ierofanga [76]
3 years ago
8

You bike

Mathematics
1 answer:
Lyrx [107]3 years ago
6 0
<h2>Answer:</h2>

<em>You will bike 30.2 miles in the seventh day according to the prediction.</em>

<h2>Explanation:</h2>

Here we have the following data, You bike

  • 5  miles the first day of your​ training,
  • 5.4 miles the second​ day,
  • 6.2 miles the third​ day, and
  • 7.8 miles the fourth day.

So we can know some facts:

  • From the first day to the second day the number of miles increases:

5.4-5=0.4mi

  • From the second day to the third day the number of miles increases:

6.2-5.4=0.8mi

  • From the third day to the fourth day the number of miles increases:

7.8-6.2=1.6mi

By taking a look at the pattern, we can see that each day you increases the number of miles by a factor of 2 compared to the previous day. So:

  • From the fourth day to the fifth day the number of miles increases:

x_{5}-7.8=3.2mi \\ \\ x_{5}=7.8+3.2=11mi, \ \text{Day 5}

  • From the fifth day to the sixth day the number of miles increases:

x_{6}-11=6.4mi \\ \\ x_{6}=6.4+11=17.4mi, \ \text{Day 6}

Finally:

  • From the sixth day to the seventh day the number of miles increases:

x_{7}-17.4=12.8mi \\ \\ x_{7}=12.8+17.4=30.2mi, \ \text{Day 7}

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