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
.
how to solve this problem so I can solve other problems like this
The independent variable is the
number of months after the first year
.
The dependent variable is the
amount remaining on the card
.
To solve this problem, you need to understand the relationship between the number of months after the first year and the amount remaining on the card.
Since the starting value of the card is $25, for the first year, the value remains the same. This means that for the first 12 months, the amount remaining on the card is $25.
After the first year, the value on the card decreases by $2.50 per month. This means that for each month after the first year, the amount remaining on the card will be $2.50 less than the previous month.
To represent this relationship mathematically:
Let "m" represent the number of months after the first year.
Let "v" represent the amount remaining on the card after "m" months.
We can write the equation for this relationship as:
v = 25 - 2.50m
In this equation, the independent variable is "m" (number of months after the first year), and the dependent variable is "v" (amount remaining on the card).
Now, you can use this equation to solve other problems similar to this one. Simply substitute the given value for "m" and calculate the corresponding value for "v".