Question

Under his cell phone plan, Rahul pays a flat cost of $36 per month and $4 per gigabyte. He wants to keep his bill under $95 per month. Which inequality represents this situation?

a)4x+4x+36≤95
b) 4x+36≥954x+36≥95
c) 4x−36<954x−36<95
d) 4x−36>954x−36>95

Answer 1

The correct inequality representing Rahul's desire to keep his cell phone bill under $95 while paying a flat rate of $36 plus $4 per gigabyte is 4x + 36 ≤ 95. There's a typo in the provided options, but the structure of the inequality matches option b)

Step-by-step explanation:

The student is asking which inequality represents Rahul's cell phone plan where he pays a flat cost of $36 per month plus $4 per gigabyte, and he wants to keep his bill under $95. Let's use 'x' to represent the number of gigabytes Rahul uses. The total cost for the cell phone plan can be calculated by multiplying the number of gigabytes by the cost per gigabyte, and then adding the flat monthly cost. Thus, the equation to represent this situation is 4x (for the $4 per gigabyte) plus 36 (for the flat cost) should be less than or equal to 95 (to keep the bill under $95). So, the inequality is:

4x + 36 ≤ 95

This corresponds to option b) 4x + 36 ≥ 95, but it should actually be ≤ 95, which indicates that it's a typo in the question.