A ski instructor charges an initial fee of $45 plus an hourly rate for private ski lessons. Jenna took 5 hours of lessons. Find the rate of change and initial value. Write an equation.​

Initial value: $45; Rate of change: 5 hours; Equation: y= 5x + 45

Step-by-step explanation:

The initial value is gonna be $45 because that's how much money Jenna has to pay to even start with the lessons, and it cannot be avoided. The rate of change is what can be increased and decreased at Jenna's liking, which is why the 5 hours of lessons would be it. She can decide how many hours she wants to spend on lessons for skiing.

The equation just restates all this; remember, we're substituting the initial value and rate of change in y=mx+b. The m is always gonna be the slope, or rate of change, and the b is always gonna be the y-intercept, or initial value. Therefore y= 5x+45.

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