Answer:
An equation of the function that shows the amount Kim owes after x weeks is given by \(y=245-35x\)
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. \(y=245-35x\)
An equation of the function that shows the amount Kim owes after x weeks is given by \(y=245-35x\)
Now, We find the intercepts
x-intercepts when y=0,
\(0=245-35x\)
\(35x=245\)
\(x=\frac{245}{35}\)
\(x=7\)
The x-intercept is 7.
y-intercepts when x=0,
\(y=245-35(0)\)
\(y=245\)
The y-intercept is 245.
