Bruce jogs from his house to the library and back again to tutor students. The distance from his house to the library is 0.28 mile. If Bruce tutored at the library 328 days last year, about how many miles did he jog?

The distance from Bruce's house to the library is 0.28 miles. Then every time Bruce jogs from his house to the library you travel 0.28 miles. And when he returns again he travels 0.28 miles again. Then on ONE DAY Bruces jogs:

2*0.28 miles= 0.56 miles

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. That is, what is intended with it is to find the fourth term of a proportion knowing the other three. Remember that proportionality is a constant relationship or ratio between different magnitudes.

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other, the direct rule of three must be applied. To solve a direct rule of three, the following formula must be followed:

a ⇒ b

c ⇒ x

So,

[tex]x=\frac{c*b}{a}[/tex]

So, to determine the amount of miles trotted by Bruce for 328 days, a rule of three applies as follows: if Bruce jogged 0.56 miles in one day, how many miles did he jog in 328 days?

[tex]amount of miles=\frac{328 days*0.56 miles}{1 day}[/tex]

amount of miles= 183.68

So, Bruce joged 183.68 miles in 328 days.