Question

psat math midterm assessment
possible points: 5
select the word from the drop - down list to correctly complete the sentence.
the graph of the relationship between the time a train travels and the distance it travels at a constant speed would be a graph.
continuous discrete

Explanation:

To determine the correct term, we analyze the relationship between time and distance for a train moving at constant speed. The formula for distance ($d$) with constant speed ($v$) is $d = vt$. Time can take any real - valued (non - negative) measurement (e.g., 1.5 hours, 2.3 seconds), and as time changes continuously, the distance also changes continuously. A continuous graph is used to represent data where the variable (time, in this case) can take any value within an interval. A discrete graph is for data with distinct, separate values (like the number of people, which can't be a fraction). Since time during the train's travel can be any non - negative real number (it's not restricted to whole numbers or specific discrete values), the graph of distance vs. time for constant speed is continuous.

Answer:

continuous