Using linear function concepts, we have that from the information given:
- The relationship is linear.
- The independent variable is the number of months.
- The dependent variable is the value of the card.
What is a linear function?
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
- x is the independent variable.
- y is the dependent variable.
From the information given, the y-intercept is of 25 and the slope is of $2.50, hence the value after t months is given by:
V(t) = 25 - 2.5t.
Thus:
- The relationship is linear.
- The independent variable is the number of months.
- The dependent variable is the value of the card.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
