Question

shelby has a blog where she writes about her life working on a cattle ranch. this scatter plot shows the number of photos in each of her posts and the number of likes that post received. it also shows the line of best fit. blog posts the equation for the line of best fit is y = 10x + 8. according to the equation, which of these statements is true? the number of likes a post receives increases by about 8 likes for each photo posted. a post with no photos would likely get about 8 likes.

Explanation:

Step1: Analyze the slope - intercept form

The equation of the line is $y = 10x+8$, which is in the slope - intercept form $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept.

Step2: Interpret the slope

The slope $m = 10$, which means for each increase of 1 in the number of photos ($x$), the number of likes ($y$) increases by 10. So the statement "The number of likes a post receives increases by about 8 likes for each photo posted" is false.

Step3: Interpret the y - intercept

When $x = 0$ (no photos), we substitute $x = 0$ into the equation $y=10x + 8$. Then $y=10\times0 + 8=8$. So a post with no photos would likely get about 8 likes.

Answer:

A post with no photos would likely get about 8 likes.