Why do Scalar-valued functions seem to cause queries to run cumulatively slower the more times in succession that they are used?

I have this table that was built with data purchased from a 3rd party.

I've trimmed out some stuff to make this post shorter... but just so you get the idea of how things are setup.

CREATE TABLE [dbo].[GIS_Location](
        [ID] [int] IDENTITY(1,1) NOT NULL, --PK
        [Lat] [int] NOT NULL,
        [Lon] [int] NOT NULL,
        [Postal_Code] [varchar](7) NOT NULL,
        [State] [char](2) NOT NULL,
        [City] [varchar](30) NOT NULL,
        [Country] [char](3) NOT NULL,

CREATE TABLE [dbo].[Address_Location](
    [ID] [int] IDENTITY(1,1) NOT NULL, --PK
    [Address_Type_ID] [int] NULL,
    [Location] [varchar](100) NOT NULL,
    [State] [char](2) NOT NULL,
    [City] [varchar](30) NOT NULL,
    [Postal_Code] [varchar](10) NOT NULL,
    [Postal_Extension] [varchar](10) NULL,
    [Country_Code] [varchar](10) NULL,

Then I have two functions that look up LAT and LON.

CREATE FUNCTION [dbo].[usf_GIS_GET_LAT]
(
    @City VARCHAR(30),
    @State CHAR(2)
)
RETURNS INT 
WITH EXECUTE AS CALLER
AS
BEGIN
    DECLARE @LAT INT

    SET @LAT = (SELECT TOP 1 LAT FROM GIS_Location WITH(NOLOCK) WHERE [State] = @State AND [City] = @City)

RETURN @LAT
END


CREATE FUNCTION [dbo].[usf_GIS_GET_LON]
(
    @City VARCHAR(30),
    @State CHAR(2)
)
RETURNS INT 
WITH EXECUTE AS CALLER
AS
BEGIN
    DECLARE @LON INT

    SET @LON = (SELECT TOP 1 LON FROM GIS_Location WITH(NOLOCK) WHERE [State] = @State AND [City] = @City)

RETURN @LON
END

When I run the following...

SET STATISTICS TIME ON

SELECT
    dbo.usf_GIS_GET_LAT(City,[State]) AS Lat,
    dbo.usf_GIS_GET_LON(City,[State]) AS Lon
FROM
    Address_Location WITH(NOLOCK)
WHERE
    ID IN (SELECT TOP 100 ID FROM Address_Location WITH(NOLOCK) ORDER BY ID DESC)

SET STATISTICS TIME OFF

100 ~= 8

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