The function y = 6 + 1.25x can be used to find the cost of joining an online music club and buying x songs from the website. Based on this information, which statement about the graph of this situation is true?
F. The y-intercept of the graph represents the cost of each song.
G. The y-intercept of the graph represents the cost of joining the music club.
H. The slope of the graph represents the total number of songs bought by members of the club.
J. The slope of the graph represents the number of songs each member buys when visiting the website.
G?
The function y= 6 + 1.25x can be used to find the cost of joining an online music club and buying x songs from the website. Based on this information, which statement about the graph of this situation is true?
no
To determine which statement about the graph is true, we can analyze the given function y = 6 + 1.25x.
The y-intercept is the value of y when x is 0. In this case, when x = 0, the function becomes y = 6 + 1.25(0) = 6 + 0 = 6. Therefore, the y-intercept of the graph is 6.
Statement F suggests that the y-intercept represents the cost of each song. However, since the y-intercept is 6, it does not represent the cost of each song because it is a constant value unrelated to x (the number of songs).
Statement G suggests that the y-intercept represents the cost of joining the music club. Since the y-intercept is 6, it does indeed represent the cost of joining the music club.
Statement H suggests that the slope of the graph represents the total number of songs bought by members of the club. However, the slope of the graph is 1.25x, which represents the additional cost for each song. It does not directly represent the total number of songs bought.
Statement J suggests that the slope of the graph represents the number of songs each member buys when visiting the website. Similar to the explanation for statement H, the slope of the graph is 1.25x, which represents the cost per song. It does not directly represent the number of songs each member buys.
Therefore, the correct statement about the graph is G: The y-intercept of the graph represents the cost of joining the music club.