1.3+Working+with+Exponents+0809

PEMDAS Parenthesis Exponents Multiplication & Division (Left >> Right) Addition & Subtraction (Left >> Right) Y =5x – 0.1x^2 if x= 10 = 50 – 0.1x^2 =50 – 10 = 40 Y =5x – 0.1x^2 if x= 30 = 150 – 0.1x^2 = 150 – 90 = 60 Y =5x – 0.1x^2 if x= 50 =250 – 0.1x^2 =250 – 250 = 0 Exponents, multiplication, and then subtraction. Y =0.1x(50 – x) if x= 10 = 0.1x(50 – 10) = 0.1x(40) =1(40) = 40  Y =0.1x(50 – x) if x= 30 = 0.1x(50 – 30) = 0.1x(20) = 3(20) =60  Y =0.1x(50 – x) if x= 50 = 0.1x(50 – 50) = 0.1x(0) = 5(0) = 0  Exponents, multiplication, and then subtraction. V = 1000(1.2^1) = 1000(1.2) =1200  V = 1000(1.2^5) = 1000(2.48) =2480  V = 1000(1.2^12) = 1000(10.69) = 10,690  Exponents and then multiplication. I entered the expression [1000 x (1.2^//x//)] into the calculator.
 * Mar. 1, 2009 **
 * Avita S **
 * Big Idea: ** Equations can be used to model real things.
 * Essential Question: ** How can I use the order of operations?
 * Notes: **
 * PROBLEM 1.3: WORKING WITH EXPONENTS **
 * Y = 5x – 0.1x^2 **
 * A) **** Use the equation to find the height of the arch at these distances from the left base. Do your calculations without using a calculator. **
 * 1. **** 10 feet **
 * 2. **** 30 feet **
 * 3. **** 50 feet **
 * B) **** What operations did you perform to calculate your answers for part A? In what order did you perform these operations? **
 * C) **** Check your answers from part A by using a calculator to help you make a table. **
 * ** X ** || ** Y ** ||
 * 0 ||  0  ||
 * 10 ||  40  ||
 * 20 ||  60  ||
 * 30 ||  60  ||
 * 40 ||  40  ||
 * 50 ||  0  ||
 * D) **** 1. The expression 5x – 0.1x^2 is equivalent to the expression 0.1x(50 – x). Use this second expression to calculate the heights for the x values given in part A. **
 * 2. In what order did you perform the operations? **
 * PROBLEM 1.3 FOLLOW-UP **
 * V = 1000(1.2^m) **
 * 1) **** A. Estimate the number of visitors 1 month after the roller-coaster opened. **
 * B. Estimate the number of visitors 5 months after the roller-coaster opened. **
 * C. Estimate the number of visitors 12 months after the roller-coaster opened. **
 * 2) **** What operations did you perform to find your answers in question 1? In what order did you perform the operations? **
 * 3) **** Check your answer to part c of question 1 by entering an expression into your calculator and pressing [ENTER]. What expression did you enter? **