MATH: ALGEBRAIC EXPRESSIONS PORTFOLIO.
CONOR IS GOING TO THE MOVIE THEATER. A TICKET TO A MOVIE COSTS T DOLLARS, AND THERE IS A 15% AMUSEMENT TAX ON EACH TICKET.
A. CONOR BUYS A TICKET TO SEE A MOVIE. WRITE TWO EXPRESSIONS IN TERMS OF T SHOWING HIS TOTAL COST.
B. CHOOSE A VALUE FOR T GREATER THAN $12 AND LESS THAN $13. USE ONE OF THE EXPRESSIONS YOU WROTE IN PART A TO FIND CONOR'S TOTAL COST, ROUNDED TO THE NEAREST PENNY. SHOW YOUR WORK.
A. The two expressions showing Conor's total cost are:
1. Total cost including the amusement tax: T + 0.15T = 1.15T dollars
2. Total cost excluding the amusement tax: T dollars
B. Let's choose a value for T as $12.50.
Using the expression from part A, the total cost including the amusement tax is:
1.15 * 12.50 = 14.375 dollars
Rounding to the nearest penny:
14.375 rounded to the nearest penny = $14.38
Therefore, Conor's total cost is approximately $14.38.