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 be
gins 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)
Discrete; number of Months after the first year; amount remaining on the card.
Step-by-step explanation:
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.
