A website offers digital movie rentals for $2.95 per movie or a monthly subscription with unlimited movies for $12.95 per month. If Zara is a monthly subscriber, what is the minimum number of movies she must watch each month to save money compared to renting each movie separately?

Question

A website offers digital movie rentals for  $2.95 per movie or a monthly subscription with unlimited movies for  $12.95 per month. If Zara is a monthly subscriber, what is the minimum number of movies she must watch each month to save money compared to renting each movie separately?

Bytelearn · Accepted Answer

Comparison of Costs: We need to compare the cost of renting movies individually with the cost of the monthly subscription to find the break-even point where Zara starts saving money. Let's denote the number of movies Zara rents as 'n'. The cost of renting 'n' movies individually is $2.95 times 'n'. The cost of the monthly subscription is a flat rate of $12.95. We want to find the smallest integer 'n' such that $2.95n > $12.95.Setting up the Inequality: Set up the inequality to solve for 'n': $2.95n > $12.95.Dividing the Inequality: Divide both sides of the inequality by $2.95 to solve for 'n': n > $12.95 / $2.95.Finding the Value of 'n': Perform the division to find the value of 'n': n > 4.3898... Since Zara can't watch a fraction of a movie, we round up to the next whole number.Rounding up to the Next Whole Number: Zara must watch at least 5 movies to save money with the monthly subscription, as 5 is the smallest whole number greater than 4.3898.

A website offers digital movie rentals for $\$ 2.95$ per movie or a monthly subscription with unlimited movies for $\$ 12.95$ per month. If Zara is a monthly subscriber, what is the minimum number of movies she must watch each month to save money compared to renting each movie separately?

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