Audrey was given a gift card for a coffee shop. Each morning, Audrey uses the card to buy one cup of coffee. Each cup of coffee costs $2.50 and after buying 2 cups of coffee, the card had a $45 remaining balance. Write an equation for A, A, in terms of x, and x representing the amount money remaining on the card after buying x cups of coffee.

Step-by-step explanation:

step one:

let y be the amount of the gift card

and let x be the number of cups of coffee bought

given that Audrey bought 2 cups x=2

y-2.50x=45

step two:

substitute x= 2 in the expression we have

y-2.5(2)=45

y-5=45

solving for y

y=45+5

y=$50

the expression is y-2.50x=45

the gift card is worth $50

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

the answer is a

step-by-step explanation: