Question

bob is looking at the reelrush online club for streaming foreign films, which has two payment plans

• no plan, with a cost of $19 per film
• members plan, with a subscription fee of $120 and a cost of $9 per film

question 5: what is the number of films where the cost of no plan and a members plan are the sa \breakeven point\)?
question 6: if bob expects to stream 17 films, which plan should he choose?
no plan, with a cost of $19 per film
members plan, with a subscription fee of $120 and a cost of $9 per film

Explanation:

Step1: Define variables for costs

Let $x$ = number of films.
Cost of no plan: $C_1 = 19x$
Cost of Members plan: $C_2 = 120 + 9x$

Step2: Set costs equal for breakeven

Set $C_1 = C_2$:
$$19x = 120 + 9x$$

Step3: Solve for x (breakeven)

Subtract $9x$ from both sides:
$$10x = 120$$
Divide by 10:
$$x = 12$$

Step4: Calculate cost for 17 films (no plan)

Substitute $x=17$ into $C_1$:
$$C_1 = 19 \times 17 = 323$$

Step5: Calculate cost for 17 films (Members plan)

Substitute $x=17$ into $C_2$:
$$C_2 = 120 + 9 \times 17 = 120 + 153 = 273$$

Step6: Compare costs for 17 films

$273 < 323$, so Members plan is cheaper.

Answer:

Question 5: 12
Question 6: Members plan, with a subscription fee of $120 and a cost of $9 per film