Question

Angelica uses the point (4,3) to represent the location of her house and uses the point (10,8) to represent the location of a gas station. Each unit on the graph represents 1 mi. How far is the gas station from Angelica's house? Show your work.

Answer 1

Distance between Gas Station and House = 7.81 miles.

Explanation:

Given: House location ( 4, 3 ) and Gas station location ( 10, 8)

On graph 1 unit = 1 mile.

To find: Distance between Gas Station and House

We use the Distance formula to find the distance between two points
`(x_1,y_1)\:and\:(x_2,y_2)`

`Distance=√((x_2-x_1)^2+(y_2-y_1)^2)`

From given points and formula,

`Distance\:between\:house\:and\:gas\:station=√((10-4)^2+(8-3)^2)`

=
`√((6)^2+(5)^2)`

=
`√(36+25)`

=
`√(61)` units

Since, 1 unit = 1 mile

⇒
`√(61)\:unit=√(61)miles=7.81 miles`

Therefore, Distance between Gas Station and House = 7.81 miles.