Zaire received a gift card for Dunkin Donuts. Every time he goes to Dunkin Donuts, he gets a large coffee. After using the card three times, the balance is $19.03. After his fifth visit, the balance is $13.05. What is the rate of change on the gift card? Interpret what it means." How much money was on the gift card originally?

-$2.99 per visit

$28 Original Gift Card Balance.

Step-by-step explanation:

According to the question, after the third visit the total amount of money on the card was $19.03, two visits later (fifth visit) the total was $13.05. Meaning that the difference between these two totals would equal 2 large coffees because it is what Zaire buys every visit.

19.03 - 13.05 = $5.98 for 2 large coffees

5.98 / 2 = 2.99 per large coffee

Therefore, we can see that the rate of change is -$2.99 per visit. Meaning that every time she visits Dunkin Donuts she spends $2.99 which makes her total gift card balance drop by that amount which is why the rate of change is negative.

Since the $19.03 total is after three visits we can multiply 2.99 by 3 and add the result to $19.03 to find the original balance of the gift card.

(2.99 * 3) + $19.03 = x

8.97 + 19.03 = x

28 = x

the solution is h=10 because you add 9 to each side of the equation.