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Alyssa was given a gift card for a coffee shop

Math Apr 30, 2022

Alyssa was given a gift card for a coffee shop. Each morning, Alyssa uses the card to buy one cup of coffee, Let A represent the amount money remaining on the card after buying a cups of coffee. A graph of A is shown below. Write an equation for A then state the slope of the graph and determine its interpretation in the context of the problem. Remaining on Card Amount Number of Cups of Coffee A The slope of the function is which reveals

Expert Solution

A=−2x+40

 

 

The slope of the function is -2 which reveals that each cup of coffee costs $2.

Step-by-step explanation

First, we will have to select any two points from the line.

We are going to use (0, 40) and (20, 0)

Let's find the slope, m.

m=20−00−40?=−2

The slope of the function is -2 which reveals that each cup of coffee costs $2.

 

The equation for A should be:

x−20y−0?=−2

A=−2x+40

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