25.The number of tablets sold by a shop can be modeled by the expression N (t) = 7t + 25 and price per tablet is modeled by an expression P(t) = 3t²+3t +36, where t is the number of months in a year. If we use this model, what is the total amount of revenue generated by the shop at the end of the year?
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a) Substituting A = 65 in the given formula. A = 4.5t2 + 43.5t + 17, then 65 = 4.5t243.5t + 17. In the form ara + bir + c = 0, the equation above is equivalent to 4.5t243.5t + 17 - 65 = 0 4.5t2 + 43.5t - 48 = 0 4.5t? + 43.5t - 48 = 0. In the equation above, the values of a, b, and c are a = 4.5, b = 43.5, and c = -662 - 4ac -48. Using the Quadratic Formula which is given by x = 2a then --- 43.5 43.52 - 4 (4.5) (- 48) 2 (4.5) -43.5 1892.25 + 864 T 9 –43.5 2756.259 43.5 52.59 Since the year after 2010 is positive, then -43.5 + 52.5 9 9 T = 9 = 1. Hence, tablet computer sales reached 65 million in x = 1 year after 2010 or in the year 2011
Answer:
54 936 pesos is the revenue generated by the shop at the end of the year.
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