Question

Lanya's house is located at (2 2/3, 7 1/3) on a map. The store where she works is located at (-1 1/3, 7 1/3). what is the distance from Lanya's home to the store?

Answer 1

Option A: 4 units is the correct answer.

Explanation:

Given that:

Layana's house is located at (
`2(2)/(3), 7(1)/(3)`)

Store is located at (
`-1(1)/(3),7\frac{1}3}`)

We can find distance between two points by using distance formula.

S =
`\sqrt{(x_2-x_1)^2+(y_2-y_1)^2`

The points can also be written as;

House (8/3, 22/3)

Store (-4/3, 22/3)

Putting values in the formula.

S =
`\sqrt{(8)/(3)-(-(4)/(3)))^2+((22)/(3)-(22)/(3))^2`

S =
`\sqrt((8)/(3)+(4)/(3)+0`

S =
`\sqrt{((8+4)/(3))^2`

S =
`\sqrt{((12)/(4))^2`

S =
`\sqrt{(4)^2`

S = 4 units

Hence,

Option A: 4 units is the correct answer.