Question

a website developer tracks the revenue for a new website over the course of several days, as shown on the graph. determine if the linear relationship is proportional. find the slope
the slope is (must be a fraction)
the unit rate is (must not be a fraction)
this means that pounds of is transported in every 1

Explanation:

Step1: Calculate the slope

The formula for slope \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let's take two points \((2,500)\) and \((6,1000)\).
\(m=\frac{1000 - 500}{6 - 2}=\frac{500}{4}=\frac{125}{1}\)

Step2: Determine the unit rate

The unit rate is the value of the slope when simplified to a non - fraction. Since \(\frac{125}{1}=125\)

Step3: Interpret the unit rate

The unit rate of 125 means that 125 dollars of revenue is generated in every 1 day.

Answer:

The slope is \(\frac{125}{1}\), the unit rate is \(125\), this means that \(125\) dollars of revenue is generated in every 1 day.