Question

You bike

Answer 1

Answer:

You will bike 30.2 miles in the seventh day according to the prediction.

Explanation:

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:

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