Question

You borrow $90 from your grandmother. you pay back $15 each week.

a. write an equation in standard for that represents the amount owed y after x weeks.
b. find the y intercept of the graph. what does this represent?
c. find the x intercept of the graph. what does this represent?

Answer 1

a. y = 90 - 15x
b. y = 90, The money you owe her initially, or after 0 weeks.
c. x = 6, The number of weeks until you pay her back all $90.

Answer 2

Answer: a) y = 90-15x

b) y = 90

c) x = 6

Explanation:

Since we have given that

Amount borrowed from his grandmother = $90

Amount he pay back each week = $15

Let the number of weeks be 'x'.

Let total amount owed be 'y'.

So, it becomes

`y=90-15x`

a) write an equation in standard for that represents the amount owed y after x weeks.

Our equation is
`y=90-15x`

b. find the y intercept of the graph. what does this represent?

For this , we put x = 0.

`y=90-15(0)\\\\y=90`

So, the y-intercept of the graph is 90.

It represents that the graph intersect y-axis at (0,90)

c. find the x intercept of the graph. what does this represent?

For this, we put y = 0.

`0=90-15x\\\\90=15x\\\\x=(90)/(15)\\\\x=6`

So, the x intercept of the graph is 6.

It represents that the graph intersect the x-axis at (6,0)