Final answer:
The relationship between the down payment and weekly payments is typically inversely proportional, meaning as the down payment increases, the weekly payments decrease. The correct option is B.
Step-by-step explanation:
The relationship between the down payment and weekly payments when purchasing an item is typically inversely proportional. This means that when the down payment increases, the amount needed for each weekly payment decreases, assuming the total price and the loan term remain the same. This is similar to the example where an electric field is directly proportional to the density of electric field lines, or when any two variables have a certain type of proportionality.
An inverse proportionality is a relationship where one variable decreases as the other increases. This can be represented by an equation of the form y = k/x, where k represents a constant value. In contrast, a direct proportionality entails a 'more-more' relationship, where an increase in one variable leads to a proportional increase in another. This relationship is symbolized as y = kx, with 'k' also being a constant and both variables producing a straight line on a graph when plotted as indicative of a direct relationship.