Question

Kim owes her friend $245 and plans to pay $35 per week. write an equation of the function that shows the amount kim owes after x weeks. then find and intercept the intercepts of the function.

Answer 1

35x=245
so you would divide both sides by 35
x=7
so it would take her 7 weeks or 1 month and 3 weeks to pay her friend back

Answer 2

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.

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=(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.