Question

the table shows the total number of posts made by the average registered user of a new social media app in the first week after purchasing the app. day, x 0 1 2 3 4 5 6 7 posts, p(x) 0 3 5 8 10 12 15 17 use an online graphing tool to find the linear equation that models the data in this table. for help, see this worked example. type the correct answer in each box. use numerals instead of words. round your answers to the nearest tenth. the linear function that models the data in this table is p(x)= x +.

Explanation:

Step1: Calculate the slope formula

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$. We can take two points, say $(0,0)$ and $(7,17)$. Then $m=\frac{17 - 0}{7 - 0}=\frac{17}{7}\approx2.4$.

Step2: Use the point - slope form to find the y - intercept

The equation of a line is $y=mx + b$. Using the point $(0,0)$ (where $x = 0$ and $y = 0$) and $m\approx2.4$, we substitute into $y=mx + b$. So $0=2.4\times0 + b$, which gives $b = 0$.

Answer:

$p(x)=2.4x+0$