document.write( "Question 1194766: A student has $8 to spend on a phone call. The cost of a call is $.34 for the first minute and $.24 for each additional minute. How long can the student talk on the phone? \n" ); document.write( "

Algebra.Com's Answer #827035 by Theo(13342) $\"\"$ $\"About$

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the cost of a call is .34 for the first minute and .24 for each additional minute.
\n" ); document.write( "the student has 8.00 to spend.
\n" ); document.write( "the cost would be .34 + .24 * (x-1) for x >= 1.
\n" ); document.write( "when x = 1, the cost is .34 + .24 * 0 = .34
\n" ); document.write( "for x = 2, the cost is .34 + .24 * 1 = .58
\n" ); document.write( "for x = 3, the cost is .34 + .24 * 2 = .82
\n" ); document.write( "etc.
\n" ); document.write( "the equation can be graphed.
\n" ); document.write( "it is shown below:
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\n" ); document.write( "to answer your question, let the equation be y = .34 + .24 * (x-1) for x greater than equal to 1.
\n" ); document.write( "when y = 8, the equation becomes 8 = .34 + .24 * (x-1).
\n" ); document.write( "subtract .34 from both sides of the equation to get 7.66 = .24 * (x-1)
\n" ); document.write( "divide both sides of the equation by .24 to get 31.916666... = x - 1
\n" ); document.write( "add 1 to both sides of the equation to get 32.916666.... = x
\n" ); document.write( "assuming x can only be an integer and must be less than or equal to 32.916666..., then, when x = 32, you will pay .34 + 31 * .24 = 7.78 for 32 minutes of calls and you will have .22 left over.
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