Question 821803
---
Company A:
y = 4.5x
---
Company B:
y = 2x + 10
---
y = 4.5x
y = 2x + 10
---
put the system of linear equations into standard form
---
4.5x - y = 0
2x - y = -10
---
copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
the solution (the point of intersection):
x= 4 videos
y= $18 to rent 4 videos
---
the solution to the system of equations is the point of intersection of the two linear equations.
at that point, it costs exactly the same ($18) to rent 4 videos from either company.
---
renting 3 videos:
y = 4.5*3 = $13.50
y = 2*3 + 10 = $16.00
company A is cheaper for 3 videos because the membership fee of company B divided over 3 videos (10/3 = $3.33) is more than the difference in video rental rates ($4.50 - $2.00 = $2.50)
--- 
renting 7 videos:
y = 4.5*7 = $31.50
y = 2*7 + 10 = $24.00
company B is cheaper for 7 videos because the membership fee of company B divided over 7 videos (10/7 = $1.43) is less than the difference in video rental rates ($4.50 - $2.00 = $2.50)
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php