Karan needs to choose between two gym plans. He can either pay a $
150
$150dollar sign, 150 joining fee and a
$
10
$10dollar sign, 10 monthly fee, or he can pay a
$
50
$50dollar sign, 50 joining fee and a
$
30
$30dollar sign, 30 monthly fee.
On what month will the cumulative costs of the plans be equal, and what will those total costs be?

no solution

step-by-step explanation:

there is not enough information in the problem to solve.

i am not sure :

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places