Answer:
[tex]A = 9 - 3x[/tex]
Step-by-step 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 [tex]A[/tex] to represent the amount remaining in the card after buying [tex]x[/tex] cups of coffee.
First of all, let us find the initial amount of money in the card.
Let initial money is $[tex]C[/tex].
When 2 cups are bought at a price of $3 each, total money spent = 3 [tex]\times[/tex] 2 = $6
When [tex]x[/tex] cups are bought at a price of $3 each, total money spent = 3 [tex]\times[/tex] [tex]x[/tex] = $3[tex]x[/tex]
Equation can be written as follows as per question statement:
[tex]3 = C - 6\\\Rightarrow C = 9[/tex]
Therefore, if we write generalized equation:
[tex]A = 9 - 3x[/tex]
