Answer:
The unit rate is 8 inches/hour
Step-by-step explanation:
Given that;
- Devon knites at a constant rate.
- In 1 1/4 hours, Devon adds 10 inches to the scarf.
The rate can be calculated by dividing the amount of scarf added by the time taken;
![\text{rate}=\frac{Amount\text{ of scarf added}}{\text{Time taken}}](https://img.qammunity.org/2023/formulas/mathematics/college/8kq7c6ghz1glznr0q2av5covj2i832yz7b.png)
Given;
![\begin{gathered} \text{Time taken }=1(1)/(4)=1.25\text{hours} \\ \text{Amount}=10\text{ inches} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/5dce31k63hsms5d24lb2w93nhhqvl49hsn.png)
Substituting we have;
![\begin{gathered} \text{rate}=\frac{10\text{ inches}}{1.25\text{ hours}} \\ \text{rate}=8\text{ inches/hour} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/v2pc3o2z0zoqhw1yvohe7h7g8gb5b3n1x7.png)
The unit rate is 8 inches/hour