Question

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

Answer 1

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

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
`s`. What we know is that the initial condition is
`s`, 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
`C` represents cost,
`s` represents shoe rental and
`g` represents games, the expresison that models this situation is

`C=4g+s`

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
`g=3`, replecing this value

`C=4(3)+s\\C=12+s`

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

Answer 2

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