Karan needs to choose between two gym plans. he can either pay a $150 joining fee and a $10 monthly fee, or he can pay a $50 joining fee and a $300 monthly fee on what month will the cumulative costs of the plans be equal, and what will those total cost be?

Solution:

Let the cumulative costs of the plans will be equal after x months.

Then we can write

Hence after 10/29th Month cost will be equal.

and that cost$

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

pretty sure 750 each month!

step-by-step explanation: