Question

Dison was given a gift card for a coffee shop. Each morning, addison sues the card to buy one cup of coffee. Each cup costs $3 and after buying 2 cups of coffee, the card had a remaining $3 balance. Write an equation for A, in terms of x, representing the amount of money remaining on the card after buying x cups of coffee.

Answer 1

`A = 9 - 3x`

Explanation:

Given that:

Cost of each cup = $3

Number of cups bought = 2

Remaining amount in cup after buying 2 cups of coffee = $3

To find:

The equation for
`A` to represent the amount remaining in the card after buying
`x` cups of coffee.

First of all, let us find the initial amount of money in the card.

Let initial money is $
`C`.

When 2 cups are bought at a price of $3 each, total money spent = 3
`*` 2 = $6

When
`x` cups are bought at a price of $3 each, total money spent = 3
`*`
`x` = $3
`x`

Equation can be written as follows as per question statement:

`3 = C - 6\\\Rightarrow C = 9`

Therefore, if we write generalized equation:

`A = 9 - 3x`