Answer:
The unit rate for the price to the length of the fabric will be $8 per meter.
Step-by-step explanation:
The two points on the graph of the line are: (1, 8) and (3, 24)
For finding the unit rate for the price to the length of the fabric, we just need to find the slope of that line.
Formula for finding the slope is: [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] , where [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] are two given points.
Here, [tex](x_{1}, y_{1})=(1,8)[/tex] and [tex](x_{2}, y_{2})=(3, 24)[/tex]
So, the slope of the line will be: [tex]m= \frac{24-8}{3-1}= \frac{16}{2}= 8[/tex]
Thus, the unit rate for the price to the length of the fabric will be $8 per meter.