a bowling alley charges guests for each game they play plus an additional fee to rent shoes. the total cost…

a bowling alley charges guests for each game they play plus an additional fee to rent shoes. the total cost, y, is a function of the number of games, x. initial value: 8 rate of change: 10 let x equal the number of games. write an equation to represent the total cost, y. number of games, x total cost ($), y 0 8 1 18 2 28 3 38

a bowling alley charges guests for each game they play plus an additional fee to rent shoes. the total cost, y, is a function of the number of games, x. initial value: 8 rate of change: 10 let x equal the number of games. write an equation to represent the total cost, y. number of games, x total cost ($), y 0 8 1 18 2 28 3 38

Answer

Explanation:

Step1: Identify the function type

The relationship between total cost ( y ) and number of games ( x ) is linear, so we use the slope - intercept form of a linear equation ( y = mx + b ), where ( m ) is the rate of change (slope) and ( b ) is the initial value (y - intercept).

Step2: Determine ( m ) and ( b )

From the problem, the rate of change (m) is 10 and the initial value (b) is 8.

Step3: Write the equation

Substitute ( m = 10 ) and ( b = 8 ) into the slope - intercept form ( y=mx + b ). We get ( y = 10x+8 ).

Answer:

( y = 10x + 8 )