Manuel pays a flat rate of $105 for his cell phone. He is also charged $0.12 for every text that he sends. His cell phone bill can be no more than the amount he has budgeted for it each month. If x represents the number of texts and y represents his budgeted amount, which inequality represents Max’s cell phone budget each month?

my answer is $0.12x + $105<= y

Your answer is correct. The inequality that represents Manuel's cell phone budget each month is:

$0.12x + $105 ≤ y

This equation states that the total cell phone bill, which consists of the flat rate of $105 plus $0.12 per text (0.12x), must be less than or equal to his budgeted amount (y) for the month.

Your answer is correct. The inequality that represents Manuel's cell phone budget each month is given by:

0.12x + 105 ≤ y

Let's break it down step by step:

- Manuel is charged $0.12 for every text he sends, so the cost of the texts will be 0.12x (where x represents the number of texts).
- In addition to the cost of the texts, Manuel pays a flat rate of $105. So the total cost of his cell phone bill is 0.12x + 105.
- The cell phone bill cannot exceed the amount Manuel has budgeted for it each month. Thus, we represent his budgeted amount as y.
- To show that the cell phone bill must be less than or equal to his budgeted amount, we use the "less than or equal to" symbol (≤).
- Combining all the above information, we get the inequality: 0.12x + 105 ≤ y.

Therefore, your answer of $0.12x + $105 ≤ y is correct.

Wouldn't you want it to be less than the budgeted amount?

so
y ≤ 0.12x + 105 or, turning it around
0.12x + 105 ≥ y

thank you