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:
13 miles
Step-by-step explanation:
Given that he traveled in a straight line to each destination. Then,
i. distance from his home to soccer field = [tex]\sqrt{x^{2} + y^{2} }[/tex]
= [tex]\sqrt{4^{2} + 3^{2}}[/tex]
= [tex]\sqrt{16 + 9}[/tex]
= [tex]\sqrt{25}[/tex] = 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.