Question

Alexander was given a gift card for a coffee shop. Each morning, Alexander uses the card to buy one cup of coffee. Each cup of coffee costs $1.50 and after buying 4 cups of coffee, the card had a $9 remaining balance. Write an equation for A,A, in terms of x,x, representing the amount money remaining on the card after buying xx cups of coffee.

Answer 1

Answer: $A = 15 - 4x$ .

Step-by-step explanation:

Total amount remaining = Initial amount in the card-( Cost per cup × (Number of cups) )

Each cup of coffee costs $1.50 and after buying 4 cups of coffee, the card had a $9 remaining balance.

i.e.  9 = Initial amount in card - (1.50 × 4)

⇒  9 = Initial amount in card - (6)

⇒  Initial amount in card = 9+-6 =15

⇒  Initial amount in card = $15

Let A be the amount money remaining on the card after buying x cups of coffee.

So,  A = 15 - 4x

Hence, the required equation is $A = 15 - 4x$ .