Question

Writing and solving linear inequalities sal is trying to determine which cell phone and service plan to buy for his mother. the first phone costs $100 and $55 per month for unlimited usage. the second phone costs $150 and $51 per month for unlimited usage. how many months will it take for the second phone to be less expensive than the first phone? the inequality that will determine the number of months, x, that are required for the second phone to be less expensive is 100 55x < 150 51x . the solution to the inequality is x > 12.5 . sal’s mother would have to keep the second cell phone plan for at least 13 months in order for it to be less expensive.

Answer 1

Sal's mother would need to keep the second phone plan for at least 13 months for it to be less expensive than the first phone plan.

Step-by-step explanation:

Sal's goal is to determine when the second phone will be less expensive than the first phone.

The first phone costs $100 and $55 per month, while the second phone costs $150 and $51 per month. Sal sets up an inequality to find the number of months, x, required for the second phone to be less expensive:

100 + 55x < 150 + 51x.

Solving this inequality, we get x > 12.5, which means Sal's mother would have to keep the second cell phone plan for at least 13 months for it to be less expensive.