Question

a movie rental company offers two subscription plans. you can pay $36 a month and rent as many movies as desired or you can pay $15 a month and $1.50 to rent each movie. how many movies must you rent in a month for the first plan to cost less than the second plan?

Answer 1

Good morning ☕️

______

Answer:

___________________

Step-by-step explanation:

You have to solve the inequality: 36 < 15 + (1.5)n

36 < 15 + (1.5)n ⇔ 36 - 15 < (1.5)n ⇔ 21 < (1.5)n ⇔ 21 < (3/2)n ⇔ (21×2)/3< n

⇔ 42/3 < n ⇔ 14 < n

So if you rent a month 15 movies or more for the first plan , it will cost less than the second plan.

:)