Dash offers and unlimited talk and texting plan for $80 per month AB&C charges $0.20 per text message and $55 for 1,000 min of talk time per month Horizon charges $0.10 per text message and $75 for 1,000 minutes of talk time per month what is the equation for each of them and which phone bill should I go with

Let's define x as the number of text messages send.

y as the number of 1,000 minutes talk per month.

(so we can write y = N/1000) where N is exactly the number of minutes that you talked that month.

> The equation for Dash is:

C1(x, y) = $80

>The equation for AB&C

C2(x,y) = $0,20*x + $55*y

> Horizon

C3(x,y) = $0.10*x + $75*y.

Now, which company you should go for?

Well, it depends on the values of x and y that you have.

if in your case you have x > y, you may want to go with Horizon, because the price per text is smaller.

if you usually talk, you may want to go with AB&C because the slope for y is smaller.

If you send a lot of texts and talk a lot, then Dash is the best option, because there is no dependence with the variables x, y

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0