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EXPONENTIAL, POWER, AND LOGARITHMIC FUNCTIONS

An incentive plan for the Talk Alot long-distance phone company varies the cost of a call according to the formula cost = a + b log t, where t represents time in minutes. When calling long distance, the cost for the first minute is $0.50. The cost for 15 minutes is $3.44.

a) Find the a-value in the equation.
b) Find the b-value in the equation.

There's more to the problem but that's the only part I need help on. If you could give step-by-step instructions and guide me through his problem, I'd appreciate it very much! Thanks!

2007-12-02 09:22:13 · 2 answers · asked by m.aster 5 in Science & Mathematics Mathematics

2 answers

.50 = a + b log ( 1 )
3.44 = a + b log ( 15 )

Normally, I would now say that you now have a linear system of equations with two unknowns. Use one to create an expression for either a or b, then substitute into the other and solve. Except it's even easier than that since log ( 1 ) = 0 so a must be .50.

2007-12-02 09:26:57 · answer #1 · answered by jgoulden 7 · 1 0

12 lbs. of meat and and cheese provides as much as $sixty 4.24. 4.95 for ham 6.ninety 9 for turkey 7.ninety 9 for roast 4.36 for cheese what share kilos of each and every. upload each and every of the beef up , so 'm roughing it out out to $ 30 for cheese and $34 for the beef.

2016-10-10 02:31:50 · answer #2 · answered by ? 4 · 0 0

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