A cash card has a starting value of $25. If the card is not used within the first year of its purchase, the value on the card begins to decrease by $2.50 per month.

The relationship between the number of months after the first year and the amount remaining on the card is ______. (continuous, discrete)
The independent variable is the _. (amount remaining on the card, numbers of months after the first year)
The dependent variable is the _________. (amount remaining on the card, numbers of months after the first year)

The value of the card strictly loses $2.50/month after the first year of purchase. This means that the values can only be $22.50, $20, etc. If it were continuous, it would lose an amount that led up to $2.50, meaning that you could have values such as $23.48 and $24.07. We cannot have these values, therefore the relationship is discrete.

As time passes, the amount of money in the card changes. As the amount of money in the card depends on the number of months, we can say that the number of months is the independent variable while the amount of money on the card is the dependent variable.

Hope this helps.

gerardogutierrez gerardogutierrez · Answer 2 · 2021-09-17T21:52:08+02:00

gerardogutierrez gerardogutierrez

17-09-2021

Answer:

The relationship between the number of months after the first year and the amount remaining on the card is discrete.

The independent variable is the

number of months after the first year.

The dependent variable is the

amount remaining on the card.

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