Answer:
A
Explanation:
So, let’s find the distance between the two points.
We will use the distance formula: “
![d=√((x_2-x_1)^2-(y_2-y_1)^2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/gyp2vrvgcxff8u3lvplpgd3vom4xfxewci.png)
We will let (1, 4) be (x₁, y₁) and (4, 7) be (x₂, y₂). Substitute:
![d=\sqrt{(4-1)^2+(7-4)^2](https://img.qammunity.org/2021/formulas/mathematics/high-school/hwelifl5r91imf7pc2nm6fj02bs7zat90y.png)
Evaluate:
![d=√((3)^2+(3)^2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/ohcd9tuaquvmo29ecqgfn96uroztkbfwsl.png)
Evauate:
![d=√(18)=√(9\cdot 2)=3\sqrt2\approx4.2](https://img.qammunity.org/2021/formulas/mathematics/high-school/xe397k5wjq6h8zpu594nxdqsux63hrjprd.png)
So, the distance between the two points is 4.2 units.
Since each unit is equivalent to one kilomeer, Alejandro wil need to walk approximately 4.2 kilometers.
So, our answer is A.