### Question Description

For word problem...

a. Write an equation in function notation that models the given situation b. Define your variables c. Create a table of values and plot the points d. indentify th x and y intercepts and state what they mean in the terms of the situation

Barry borrowed $500 from his dad to help pay for his new car. He is paying his dad back at a rate of $75 every month. Write an equation to find the number of months it will take until his debt is paid. Estimate how much Barry will owe 4 mo

## Final Answer

Please let me know if you need any clarification. I'm always happy to answer your questions.

a) let number of months be x.

x=500/75; 75x=500; 0=500-75x in standard form the equation will be of the form f(x)=mx+c

equation is f(x)=500-75x

b) variable x is the number of months Barry has paid his dad while f(x) is the balance Barry owe his dad at a particular month x.

c) x 1 2 3

f(x) 425 350 275

d) y-intersept is 500 and x-intersept is 0=500-75x; x-intersept= 6.66667

y-intersept means that before any payments Barry made, he owe his dad $500, x-intersept indicates that Barry cleared his debt after 6.66667 months

after 4 months Barry owe his father 500-75(4)=500-300= $200

Please let me know if you need any clarification. I'm always happy to answer your questions.