Inspired by her new love of math developed in Bridge to College Math, Susan decides to open a math tutoring center. She found a nice office that she can lease for $400 per month. Susan is going to charge $25 per hour for her tutoring service. She is examining her monthly budget.

a. Write an equation using function notation to model susan's monthly income as a function of the number of hours (x) she spends tutoring in one month.

b. What is the slope of the function and what does it mean in the context of this problem?

c. What is the x-intercept and what does it mean in the context of this problem?

d. What is the v-intercept and what does it mean in the context of this problem?

e. What is the domain of the tunction in the context of this problem, and why?

f. What is the range of the function in the context of this problem, and why?

g. Graph the tunction. Label the scale and axes.