The cellular phone plan you signed up for gives you 400 minutes a month for $35 and charges $.15 for each additional minute over 400 minutes. How long can you talk on the phone each month and stay within a budget of $45?

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66 minutes over at .15 a minute would be 9.90. Theefore you can have 466 minutes for 44.90.

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To calculate how long you can talk on the phone each month and stay within a budget of $45, you need to consider the initial minutes included in your plan and the cost of additional minutes.

First, let's calculate the cost of the initial 400 minutes:
400 minutes are included in the plan, and the cost is $35. So, the cost per minute for the initial 400 minutes would be:
$35 / 400 minutes = $0.0875 per minute

Next, let's find out how much you have left in your budget after accounting for the initial 400 minutes:
Budget - Cost of initial 400 minutes = $45 - $35 = $10
Now, let's calculate how many additional minutes you can talk using the remaining $10 in your budget:
$10 / $0.15 per additional minute = 66.67 minutes

Therefore, you can talk for an additional 66.67 minutes within the remaining $10 budget.

In total, the length of time you can talk on the phone within a budget of $45 would be:
400 minutes (included in the plan) + 66.67 minutes (additional minutes) = 466.67 minutes