Calculating Jimmy’s Distance from Home

The correct answer is C: 5 miles.

To find out how far Jimmy is from home in a straight line, we can use the Pythagorean theorem. After running 3 miles west and then 4 miles north, we have a right triangle where one leg is 3 miles and the other leg is 4 miles.

Using the formula:

[

c = sqrt{a^2 + b^2}

]

where ( a = 3 ) miles and ( b = 4 ) miles, we calculate:

[

c = sqrt{3^2 + 4^2} = sqrt{9 + 16} = sqrt{25} = 5

]

So, Jimmy is 5 miles away from home. Great job working through that! If you have more questions, feel free to ask or check the extended services page for further assistance.