Question

Please help I gave extra points please it’s super simple to some of you I just don’t know how to do it :(

Answer 1

1. The required slope m, for the context is
`m = (-25)/(3)`

2. The y-intercept in the context is
`P_(2)(d) = y = 100`

3. The x-intercept of the linear model is
`d = x = 12`

Explanation:

Given:

`P_(2)(d) = (-25)/(3)* d + 100`

Where,

`P_(2)` is the number of phones.

d is the number of days he has worked that week.

This is a linear model type equation.

Can be represented in the slope intercept form which is equal to

`y = mx + c`

Where,

m = Slope of the line.

c = y-intercept.

Now if we compare the given model by slope intercept formula we get

`m = (-25)/(3)\\\\c = 100`

So ,the slope in the context of the problem is
`m = (-25)/(3)`.

and the y intercept in the context of the problem
`P_(2)(d) = c = y = 100`

For finding x-intercept put y = 0

Here,
`P_(2)(d) = 0`

`\therefore 0 = (-25)/(3)* d + 100\\ \therefore (25)/(3)* d = 100\\\therefore d=(300)/(25)\\\therefore d=12`

So, the x intercept of the linear model is
`d = x = 12`