Answer:
A
Step-by-step explanation:
So, let’s find the distance between the two points.
We will use the distance formula: “
[tex]d=\sqrt{(x_2-x_1)^2-(y_2-y_1)^2}[/tex]
We will let (1, 4) be (x₁, y₁) and (4, 7) be (x₂, y₂). Substitute:
[tex]d=\sqrt{(4-1)^2+(7-4)^2[/tex]
Evaluate:
[tex]d=\sqrt{(3)^2+(3)^2}[/tex]
Evauate:
[tex]d=\sqrt{18}=\sqrt{9\cdot 2}=3\sqrt2\approx4.2[/tex]
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.
