Question

Use the graph to answer the following. Round to the tenths place, if needed.

Answer 1

A. 17 units

B. 17.3 units

C. TRUE

Step-by-step explanation:

Apply distance formula,
`d = √((x_2 - x_1)^2 + (y_2 - y_1)^2)`

A. Distance between Jim's house (17, 13) and the bank (2, 5):

Let,

`(17, 13) = (x_1, y_1)`

`(2, 5) = (x_2, y_2)`

`d = √((2 - 17)^2 + (5 - 13)^2)`

`d = √((-15)^2 + (-8)^2)`

`d = √(225 + 64)`

`d = √(289) = 17`

Jim's house is 17 units far from the bank

B. Distance between Grocery Store (5, 18) and the Mall (8, 1):

Let,

`(5, 18) = (x_1, y_1)`

`(8, 1) = (x_2, y_2)`

`d = √((8 - 5)^2 + (1 - 18)^2)`

`d = √((3)^2 + (-17)^2)`

`d = √(9 + 289)`

`d = √(298) = 17.2626765 ≈ 17.3` (nearest tenth)

The Grocery store is 17.3 units far from the mall.

C. TRUE. Jim's house is closed to the bank (17 units) than the Grocery store to the Mall (17.3 units).