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

Answer:

1. The required slope m, for the context is$m = \frac{-25}{3}$

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

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

Step-by-step explanation:

Given:

$P_{2}(d) = \frac{-25}{3}\times d + 100$

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

$m = \frac{-25}{3}\\\\c = 100$

So ,the slope in the context of the problem is $m = \frac{-25}{3}$.

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

For finding x-intercept put y = 0

Here,$P_{2}(d) = 0$

$\therefore 0 = \frac{-25}{3}\times d + 100\\ \therefore \frac{25}{3}\times d = 100\\\therefore d=\frac{300}{25}\\\therefore d=12$

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