Write a symbolic representation for a linear function that computes the following. The long distance phone bill in dollars for calling \( t \) minutes at 30 cents per minute and a fixed fee of \( \$ 4.95 \).
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The long-distance phone bill can be represented by the linear function \( B(t) = 0.30t + 4.95 \), where \( B(t) \) is the total bill in dollars, \( t \) is the number of minutes called, and 0.30 represents the cost per minute. This means for every minute you talk, you add 30 cents to your total, plus a basic charge of $4.95. Understanding how this function works in practical scenarios can be useful. For instance, if you planned to chat for 20 minutes, you would simply plug in \( t = 20 \) into the equation: \( B(20) = 0.30(20) + 4.95 = 6.95 \). So, your phone bill would be $6.95 for that call. Quite handy for budgeting those long-distance chats!