Brandon has $700 in a savings account at the beginning of the year. he withdraws $30 each week to go out to eat. he wants to find out how many weeks he can do this and have at least $150 in the account.

18 weeks

Step-by-step explanation:

Initial amount stored in savings account = $700

Final minimum amount required in the account = $150.

Thus,

The total amount of money he can spend = (700 - 150) = $550

Each week he is withdrawing $30 to go out to eat.

Since , maximum money he can spend should be multiple of 30 ,

Thus maximum he can spend $540

number of weeks he can do this =

                                                      = 18.

So, he can take out $30 each week to go out to eat for 18 weeks only.

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