To determine the y-intercept of the instructor's new rates from the given points on the graph, we'll assume the relationship between time (hours) and total charge (dollars) can be represented by a linear equation in the form \( y = mx + b \), where \( b \) is the y-intercept.
The points provided are:
- (0, 8)
- (2, 27)
- (4, 46)
- (6, 65)
The y-intercept occurs when \( x = 0 \). From the provided point (0, 8), we can directly see that when the time is 0 hours, the total charge is 8 dollars. Therefore, the y-intercept \( b \) is 8.
As a ratio, the y-intercept can be expressed as:
\[ \frac{8}{1} \]
Hence, the y-intercept of the instructor's new rates as a ratio is \(\frac{8}{1}\).