Question

Jonah subscribed to a new movie streaming service. The service costs Co $14.99 per month, but Jonah's rate is reduced by $0.75 for each new subscriber that he signs up. If there is no limit to the discount, how many users must Jonah recruit in order from him to use the service for a cost of at most $5.00?

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Answer 1

Let's call the number of subscribers that Jonah signs up "x". Each new subscriber reduces Jonah's monthly cost by $0.75, so his monthly cost can be expressed as:

14.99 - 0.75x

We want to find how many subscribers Jonah needs to sign up in order to bring his monthly cost down to $5.00 or less. So we can set up the following inequality:

14.99 - 0.75x ≤ 5

Solving for x, we get:

0.75x ≥ 9.99

x ≥ 13.32

Since Jonah can't sign up a fraction of a subscriber, we need to round up to the nearest whole number. Therefore, Jonah needs to sign up at least 14 new subscribers in order to bring his monthly cost down to $5.00 or less.