Question

Enrique uses a gift card to buy coffee at a coffee shop. The initial value of the gift card is $20. The function n=20-2.75c represents the amount of money still left on the gift card n after c cups of coffee are bought. Find the zero of this function. Describe what this means in context

Answer 1

The zero of the function n=20-2.75c is found by setting n to zero and solving for c, which results in Enrique being able to buy 7 cups of coffee before his gift card runs out of funds.

Step-by-step explanation:

To find the zero of the function n=20-2.75c, which represents the amount of money Enrique has on his gift card after purchasing c cups of coffee, we need to set n to zero and solve for c:

0 = 20 - 2.75c

2.75c = 20

c = 20 / 2.75

c ≈ 7.27

Since Enrique cannot buy a fraction of a cup of coffee, he can buy 7 cups of coffee before the card's balance reaches zero. The zero of the function indicates that the gift card no longer has any funds remaining after purchasing 7 cups of coffee at $2.75 each.

Answer 2

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function. Functions were originally the idealization of how a varying quantity depends on another quantity.

Step-by-step explanation: