Question

gabriels smartphone plan with stark mobile includes unlimited talk and text and a certain amount of data every month. if he uses additional data, he is charged more on his bill. this graph shows the relationship between the number of additional gigabytes of data gabriel uses in a month, x, and the total amount (in dollars) of his bill, y. do x and y have a proportional relationship? yes no what is the constant of proportionality? write your answer as a whole number or decimal. dollars per additional gigabyte

Explanation:

Step1: Recall proportional - relationship criteria

In a proportional relationship, the graph is a straight - line passing through the origin \((0,0)\). The equation of a proportional relationship is \(y = kx\), where \(k\) is the constant of proportionality.

Step2: Check if the line passes through the origin

The line on the graph does not pass through the point \((0,0)\). When \(x = 0\) (no additional gigabytes), the \(y\) - value (bill amount) is approximately \(47\) (from the graph). So, \(x\) and \(y\) do not have a proportional relationship.

Since there is no proportional relationship, we cannot find a constant of proportionality.

Answer:

no