Question

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 .

The independent variable is the _____________?

The dependent variable is the ______________?

Answer 1

Answer:

• The relationship between the number of months after the first year and the amount on the remaining card is linear and inverse ( Which meant that ,when the number of months after the first year increases , the amount on the remaining car decreases , in a linear way ) .

• The Independent variable is the numbers of months after the first year .

• The Dependent variable is the amount on the remaining card , Bcoz this amount depends on the time it has passed since the first year , ( which is our independent variable!).

• If we call "Y" our dependent variables and "X" our Independent variable , This relationship can be written as Y= 25 - 2.5x.

• If no months had passed since the first year, then x= 0 and the amount in the card equals $25 , While if one month has passed since the first year x= 1 and y= 22.5 ( The amount in the card in this case is $22.5 .

Step-by-step explanation:

Hope this helps you !!