Question

Each gridline represents one mile. If Ryan drove from home to the soccer field and then from the soccer field to the library, traveling in a straight line to each destination, he would have traveled ___ miles by the time he reached the library.

Answer 1

13 miles

Explanation:

Given that he traveled in a straight line to each destination. Then,

i. distance from his home to soccer field =
`\sqrt{x^(2) + y^(2) }`

=
`\sqrt{4^(2) + 3^(2)}`

=
`√(16 + 9)`

=
`√(25)` = 5 miles

ii. The distance from soccer field to the library = 8 miles.

So that we can say that;

Ryan's total distance from home to the library = 5 + 8

= 13 miles

Thus, Ryan would have traveled 13 miles by the time he reached the library.