10
algebra

A streaming platform charges $8.99 basic plus $4.99 per additional user profile. To stay within a $25 monthly budget, what is the maximum number of additional profiles pp allowed?

A

p3p \leq 3

B

p4p \leq 4

C

p<3p < 3

D

p<4p < 4

Correct Answer: A

Choice A is the correct answer. Set up the inequality and solve for the integer constraint.

  1. Setup: 8.99+4.99p258.99 + 4.99p \leq 25
  2. Subtract 8.99: 4.99p16.014.99p \leq 16.01
  3. Divide by 4.99: p3.21...p \leq 3.21...
  4. Integer constraint: Since pp must be whole, maximum is p=3p = 3

?�� Strategic Tip: Real-world quantities often require integer solutions, so round down for maximums.

Choice B is incorrect becausep=4p = 4 would cost 8.99+4(4.99)=28.958.99 + 4(4.99) = 28.95, exceeding $25. Choice C is incorrect because it excludes p=3p = 3, which does work (8.99+3(4.99)=23.96<258.99 + 3(4.99) = 23.96 < 25). Choice D is incorrect because while p<4p < 4 is technically true, p3p \leq 3 is more precise for integers.