The formula d = rt relates distance, rate, and time. If a given distance is tripled and its corresponding time remains the same, which of the following is equivalent to the new rate?

This choice suggests multiplying the original rate by time and then by 3, which does not represent a rate at all. The formula d = rt indicates that rate is derived from distance divided by time, not from mere multiplication of variables. This option does not reflect the relationship between distance, rate, and time correctly.

This option incorrectly inverts the relationship between distance and rate. It presents time divided by the tripled distance, which does not conform to the rate formula. Rate must be expressed as distance divided by time, making this choice an incorrect representation of the new rate.

This choice also incorrectly modifies the standard rate formula. It implies that the original distance is divided by three times the time, which would yield a rate that is not representative of the scenario where distance is tripled while time remains constant. This choice misapplies the relationship outlined in the formula.