Question

can I get some help please

Answer 1

Correct Question :

• Two Different Streaming Services.
• Streaming Service A has a starting fee of $25 and then charges $5 per month.
• Netflix has a starting fee of $7 and then charges $8 per month.
• How many months will it take for both of them to charge same? what will be the charge?

AnswEr :

• Let's Head to the Question Now :

Let's Assume the Cost be c when they both will charge same and Month be m.

⋆ Streaming Service A :

⇝ Cost = Fixed Fee + (Charge × Month)

⇝ c = 25 + (5 × m)

⇝ c = 25 + 5m⠀⠀⠀⠀⠀⠀—eq. ( I )

⋆ Netflix :

⇝ Cost = Fixed Fee + (Charge × Month)

⇝ c = 7 + (8 × m)

⇝ c = 7 + 8m⠀⠀⠀⠀⠀⠀⠀—eq. ( II )

_________________________________

• from eq.( I ) and eq.( II ), we get :

⇒ 25 + 5m = 7 + 8m

• LHS is Equal, So RHS will be Equal too

⇒ 25 - 7 = 8m - 5m

⇒ 18 = 3m

• Dividing Both term by 3

⇒ m = 6 Months

After 6 Month Both Streaming Services will charge the same price.

• putting the Value of m in eq.( I ) :

⇒ c = 25 + 5m

⇒ c = 25 + (5 × 6)

⇒ c = 25 + 30

⇒ c = $55

∴ Both will charge $55 after 6 Months.

Answer 2

${\large\bf{\mid{\overline{\underline{Given:-}}}\mid}}$

• streaming service A Fixed fees = $25
• streaming service A per month fees = $5
• netflix Fixed fees = $8
• netflix per month fees = $8
• m = months
• c = Total cost

${\large\bf{\mid{\overline{\underline{Solution:-}}}\mid}}$

it is given that, after m months both will charge same amount..

Total cost of stream service is :---

→ c = 25 + 5×m ---------------- Equation (1)

as ,

Total cost = Fixed charge + per month charge× Number of months .

Total cost of Netflix now :-

→ c = 8 + 8×m ---------------- Equation (2)

Now, it has been said that, both will get, same amonut after m months .

so,

25+5m = 8 + 8m

→ 25 - 8 = 8m - 5m

→ 17 = 3m

→ m = (17/3) months ..

Now, we have to Find Total cost they charged , in these months ,

putting in any Equation now, we get,

C = 8 + 8m

→ C = 8 + 8(25/3)

→ C = 8 + 200/3

→ C =$ (224/3) or , $74.67 ...

So, we can say that, according to your data , they take (17/3) months for same charge , and their same charge after this time will be $74.67 .....

$\large\underline\textbf{Hope it Helps You.}$