The y-intercept, which represents the point the graph crosses the y-axis, is the point where x = 0, or the usual start of a time based function
The true statements about the y-intercept are;
B. The y-intercept is 10
D. The y-intercept tells me that they paid the babysitter $10 to buy her lunch
Reasons:
The points on the graph are;
[tex]\begin{array}{|c|cc|} \mathbf{Time }&&\mathbf{Cost}\\0&&10\\1&&20\\2&&30\\3&&40\\4&&50\\5&&60\end{array}\right][/tex]
The slope of the graph is therefore; [tex]\dfrac{60 - 50}{5 - 4} = 10[/tex]
The equation of the graph is y - 60 = 10·(x - 5)
y = 10·x - 50 + 60 = 10·x + 10
The y-intercept is give by the point where the x-value is zero
At the start when x = 0, the amount paid to the baby sitter is y = 10×0 + 10 = 10
Therefore, the y-intercept which is $10, represent the amount the family
paid to the babysitter at the start for her lunch
The correct statements are therefore;
Option B; The y-intercept = 10
Option D; The y-intercept indicates the amount given to the babysitter for
her lunch
Learn more here:
https://brainly.com/question/14431998