Answer:
Option A: 4 units is the correct answer.
Step-by-step explanation:
Given that:
Layana's house is located at ([tex]2\frac{2}{3}, 7\frac{1}{3}[/tex])
Store is located at ([tex]-1\frac{1}{3},7\frac{1}3}[/tex])
We can find distance between two points by using distance formula.
S = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
The points can also be written as;
House (8/3, 22/3)
Store (-4/3, 22/3)
Putting values in the formula.
S = [tex]\sqrt{\frac{8}{3}-(-\frac{4}{3}))^2+(\frac{22}{3}-\frac{22}{3})^2[/tex]
S = [tex]\sqrt(\frac{8}{3}+\frac{4}{3}+0[/tex]
S = [tex]\sqrt{(\frac{8+4}{3})^2[/tex]
S = [tex]\sqrt{(\frac{12}{4})^2[/tex]
S = [tex]\sqrt{(4)^2[/tex]
S = 4 units
Hence,
Option A: 4 units is the correct answer.
