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

Answer:

7 cups of coffee

Step-by-step 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

$\frac{2.75c}{2.75} = \frac{20}{2.75}$

$c = \frac{20}{2.75}$

$c = 7.273$

$c = 7$ --- Approximated

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