Answer:
For this case we can define y as the response variable and represent the cost and x the independent variable who represent the hours of lessons. We know that the instructor has an initial fee of 12 and charges 8 per hour. So then we can model the situation with this formula:
![y =mx+b](https://img.qammunity.org/2021/formulas/mathematics/college/rccudsyridwsv2tntmghvjbqqrsnqw9jg3.png)
Where m = 8 represent the slope and b =12 the intercept so our model would be:
![y = 8x +12](https://img.qammunity.org/2021/formulas/mathematics/college/w6w7l9hzyoqquq4p24dn90tzc0jv2zavwc.png)
And the y intercept would be at x=0 and y=12 and represent the initial amount of money that we need to pay in order to have the instructor.
Step-by-step explanation:
For this case we can define y as the response variable and represent the cost and x the independent variable who represent the hours of lessons. We know that the instructor has an initial fee of 12 and charges 8 per hour. So then we can model the situation with this formula:
![y =mx+b](https://img.qammunity.org/2021/formulas/mathematics/college/rccudsyridwsv2tntmghvjbqqrsnqw9jg3.png)
Where m = 8 represent the slope and b =12 the intercept so our model would be:
![y = 8x +12](https://img.qammunity.org/2021/formulas/mathematics/college/w6w7l9hzyoqquq4p24dn90tzc0jv2zavwc.png)
And the y intercept would be at x=0 and y=12 and represent the initial amount of money that we need to pay in order to have the instructor.