Jones video charges $4 per video rental-ples
a $30 onctime membership fee. vance video
charges $6 per video rental and no membership
fec. for what number of video rentals will the
total charges for the two stores be equal?
(a) 3 (b) 5 (©) 10 (d) 12 (e) 15

y = 4x + 30 : Jones Video

y = 6x: Vance Video

Step-by-step explanation:

6x = 4x + 30

2x = 30

x = 15

y = 4(15) + 30 = 60 + 30= $90

y = 6(15)= $90

the answer is E.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions