Question

1. given the two linear functions below, select the one that represents an arithmetic function. use complete sentences to explain why it is arithmetic and why the other one is not. explanation:

Explanation:

An arithmetic function has a constant difference between consecutive terms. For a linear - function graph, this means a constant slope. The first graph is a straight - line, which implies a constant rate of change (slope), so the change in the output values for a constant change in the input values is the same. The second graph has discrete points that do not form a straight - line, so there is no constant difference between consecutive terms.

Answer:

The first linear function (the straight - line graph) represents an arithmetic function because it has a constant slope, meaning there is a constant difference between consecutive terms. The second function (the non - linear set of discrete points) is not arithmetic as there is no constant difference between consecutive terms.