Answer:
An equation of the function that shows the amount Kim owes after x weeks is given by [tex]y=245-35x[/tex]
The x-intercept is 7.
The y-intercept is 245.
Step-by-step explanation:
Given : Kim owes her friend $245 and plans to pay $35 per week.
To find : Write an equation of the function that shows the amount Kim owes after x weeks then find the intercepts of the function ?
Solution :
Let 'y' be the amount owed.
Here, 'x' is the number of weeks.
Kim owes her friend $245 and plans to pay $35 per week.
i.e. [tex]y=245-35x[/tex]
An equation of the function that shows the amount Kim owes after x weeks is given by [tex]y=245-35x[/tex]
Now, We find the intercepts
x-intercepts when y=0,
[tex]0=245-35x[/tex]
[tex]35x=245[/tex]
[tex]x=\frac{245}{35}[/tex]
[tex]x=7[/tex]
The x-intercept is 7.
y-intercepts when x=0,
[tex]y=245-35(0)[/tex]
[tex]y=245[/tex]
The y-intercept is 245.
