Answer:
C. y = 8x
Explanation:
Using the slope formula, we can calculate the rate of Marisol's and Timothy's Machines.
![m = (y_1-y_2)/(x_1-x_2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/a0hvw39r0mqr0k2kp9kv112yot0gzmh5qy.png)
Marisol:
![m = (18-12)/(3-2) \\m=6](https://img.qammunity.org/2022/formulas/mathematics/college/kt5ixi1mpbqde0p0lj4n3dyq08wmvk17n4.png)
Timothy:
![m=(54-36)/(6-4) \\m=(18)/(2) \\m=9](https://img.qammunity.org/2022/formulas/mathematics/college/lbvhxqvkswrj3b9a3z35vvjdeny2ctcr4h.png)
Now that we know the rate of their machines, we need to choose a rate that is between 6 and 9. Therefore, the rate of Zorian's machine needs to be y = 8x.