how do I solve problem sentences like this?
the relationship between the number of months after the first year and the amount remaining on the card is (Continuous) or (Discrete)
the independent variable is the number of months after the first year
the dependent variable is the amount remaining on the card
To solve the problem sentence, you need to determine whether the relationship between the number of months after the first year and the amount remaining on the card is continuous or discrete.
To do this, consider the characteristics of each type of variable:
1. Continuous Variable: A continuous variable can take any value within a certain range and can be measured at any point on a scale. It can take on decimal values and allows for infinite possibilities. Examples include time, temperature, weight, and height.
2. Discrete Variable: A discrete variable can only take distinct, separate values and cannot have values in between. It usually involves counting whole numbers or categories. Examples include the number of siblings, the number of cars in a parking lot, and the number of coins in a wallet.
In the given problem sentence, the number of months after the first year is the independent variable, while the amount remaining on the card is the dependent variable.
Since you can have fractional values for the number of months after the first year (for example, 2.5 months), the relationship between the variables is continuous. The amount remaining on the card may vary continuously depending on the number of months, rather than having fixed, distinct values.
Therefore, the relationship between the number of months after the first year and the amount remaining on the card is continuous.