Question

1. a cyclist travels between points (3, 4) and (7, 1). what is the distance traveled?

a. √25 units
b. √16 units
c. √20 units
d. 3 units

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $(x_1,y_1)=(3,4)$ and $(x_2,y_2)=(7,1)$.

Step2: Substitute values

$d=\sqrt{(7 - 3)^2+(1 - 4)^2}=\sqrt{4^2+( - 3)^2}=\sqrt{16 + 9}=\sqrt{25}$.

Answer:

A. $\sqrt{25}$ units