25 points! answer needed asap! you will be named brainiest!

you are trying to decide which of the two smartphones plans would be better. plan a charges a basic fee of $30 per month and 10 cents per text message. plan b charges a basic fee of $50 per month and 5 cents per text message.

how many text message would you need to send per month for plan b to be the better option? explain your decision.

i also need to see work. equations, everything that you would need to solve.

We need to send more than 400 messages for Plan B to be the better option.

Step-by-step explanation:

Plan A

The cost is a flat fee of 30 plus 10 cents per message

Cost= 30 +.10m

Plan B

The cost is a flat fee of 50 plus 5 cents per message

Cost = 50 +.05m

We want cost of B to be less than cost A

30 +.10m > 50 +.05m

Subtract .05m from each side

30 +.10m- .05m > 50 +.05m-.05m

30 +.05m > 50

Subtract 30 from each side

30-30 +.05m > 50-30

.05m > 20

Divide each side by .05

.05/.05m > 20/.05

m > 400

We need to send more than 400 messages for Plan B to be the better option.

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form