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Melinda goes bowling on Saturday afternoon, she bowls three games and pays for shoe rental. Define a variable and write an expression to represent the total cost Melinda pays. Then find the total cost if one game cost $4

Respuesta :

MissPhiladelphia
fisrt let us define the variableslet y be the total cost melinda paysx be the number of games she playedb be the cost of shoe rentalm is the cost of one game
y = mx + b
y = 4(3) + by = 12 + b 

Answer:

The total cost is $12 plues the cost for shoe rental.

Step-by-step explanation:

Givens

  • One game costs $4.
  • Melinda bowls three games.
  • She pays for shoe rental.

We don't know how much Melinda pays for shoe rental, so that price is gonna be [tex]s[/tex]. What we know is that the initial condition is [tex]s[/tex], because at the beginning, that's what she pays.

Also, we know that each game is $4, that means the constant ratio of change is gonna be $4. So, if [tex]C[/tex] represents cost, [tex]s[/tex] represents shoe rental and [tex]g[/tex] represents games, the expresison that models this situation is

[tex]C=4g+s[/tex]

Which described that the total costs depends on the total games Melinda is gonna play, and show rental is a constant and initial condition, because the price for shoes won't change.

In the case that Melinda bowls three games, we have [tex]g=3[/tex], replecing this value

[tex]C=4(3)+s\\C=12+s[/tex]

Therefore, the total cost is $12 plues the cost for shoe rental.