Question

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

Answer 1

7 cups of coffee

Explanation:

Given

`n = 20 - 2.75c`

Required

Find and describe the zero of the function

To do this, we simply equate n to 0

i.e.

`n = 0`

Substitute 0 for n in
`n = 20 - 2.75c`

`0 = 20 - 2.75c`

Add 2.75c to both sides

`0 + 2.75c = 20 - 2.75c + 2.75c`

`0 + 2.75c = 20`

`2.75c = 20`

Divide both sides by 2.75

`(2.75c)/(2.75) = (20)/(2.75)`

`c = (20)/(2.75)`

`c = 7.273`

`c = 7` --- Approximated

This implies that the maximum cups of coffees that can be bought is 7