Bort wants to make money selling tacos. He sells 25 tacos on the first day. He then sells 12 tacos each day after that. a) Write an explicit formula to model this situation. b) If each taco sells for $3, how much money does he make in the first 30 days? Explain how you got your answer. Reminder: You will be graded for showing the correct process as well as the correct answer using handwritten algebraic work.
a) The explicit formula to model this situation is:
Tn = 25 + 12(n-1) where Tn represents the total number of tacos sold on day n.
b) To find out how much money Bort makes in the first 30 days, we first need to calculate the total number of tacos sold in 30 days using the formula above:
T30 = 25 + 12(30-1)
T30 = 25 + 12(29)
T30 = 25 + 348
T30 = 373 tacos
Now that we know he sells 373 tacos in 30 days, we can calculate the total amount of money he makes:
Total amount = 373 tacos x $3/taco
Total amount = $1119
Therefore, Bort makes $1119 in the first 30 days by selling tacos.