To estimate the value of 52.75 using the graph of \( y = 5x \), we want to find the corresponding \( y \) value when \( x \) is approximately 10.55 (because \( 52.75 = 5 \times 10.55 \)).
Looking at your options:
- 39
- 100
- 75
- 80
In terms of the y-axis which ranges from -10 to 130, and taking into account that \( y \) values are likely to be proportional to the \( x \) values given the linear relationship:
- At \( x = 10.55 \), \( y \) will be \( 5 \times 10.55 \approx 52.75 \).
- The closest estimate given the options provided would be 100 since this is likely the closest value on the graph around that point.
If you have values plotted on the graph or specific increments where you can get a visual idea where 52.75 falls in relation to those points, please refer accordingly. However, based on the presented information, I recommend choosing 100 as the best estimate of \( 52.75 \) from the provided options.