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Homework answers / question archive / Alyssa was given a gift card for a coffee shop
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
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