Jeremy is looking at two different options for a new gym membership. plan a has a fee of $40 plus an additional fee of $19.95 per month. with this plan, the first 3 months are free. plan b has a fee of $59.85 plus an additional fee of $29.95 per month. with this plan, the first 6 months are free. after how many months would both options cost the same amount?

a variable is any characteristics, number, or quantity that can be measured or counted. a variable may also be called a data item. hope i !

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