Integrated Math 1: Homework #2 Answers (Day 1)

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1 Integrated Math 1: Homework #1 Answers 1-6. a: y = x 2 6 and then y = x 5 b: Yes, reverse the order of the machines ( y = x 5 and then y = x 2 6 ) and use an input of x = a: 54 b: c: 2 d: a: b: It grows by two tiles each time. c: 1; Your explanation here. Figure 4 Figure a: 59 b: 17 c: 72 d: 6 e: 24 f: 25 g: 25 h: 25 i: a: 1 b: 3 c: 9 Integrated Math 1: Homework #2 Answers (Day 1) a: b: 42 tiles; Your explanation here a: x = 0 b: x = any number c: x = 14 d: x = no solution a: -5/18 b: -51/35 c: -3/5 d: 7/ a: $18 b: 8.4 gallons c: The line would get steeper a: -17 b: 8 c: -16 d: 486

2 Integrated Math 1: Homework #2 Answers (Day 2) Answers will vary. An example is below: Figure 0 Figure 1 Figure a: 5 b: 19 c: a: Because the submarine is below sea level. b: The submarine dives deeper and deeper into the ocean. Specifically, it dives 450 feet every 30 minutes. c: After 3 hours (or 180 minutes), the submarine will be 2700 meters below sea level or (-2700); After 45 minutes, the submarine will be 675 meters below sea level or (-675); After 0 minutes, the submarine will be at sea level or (0). d: Answers may vary depending on scaling choices. e: This relationship is proportional because the submarine is diving at the same rate every 30 minutes. It is increasing its depth below sea level (i.e., a decreasing function) a: x = -3 b: x = 5 c: x = 2/ a: For the y = x function, the output is 84. For the y = x 2 function, the output is no solution. b: He cannot get an output of 0 with the y = x function. He can get an output of 0 by putting a 4 in the y = x 2 function. Core Connections, Course 4

3 Integrated Math 1: Homework #3 Answers a: m = 5 b: a = 4π/ a: 2 b: 30 c: 13 d: Be sure to read the directions for this problem. a: 4 b: 5 c: a: about 100 degrees; obtuse b: about 165 degrees; obtuse c: about 50 degrees; acute a: b: The graph is a curve, going up. y As x increases, y increases. x c: Answers will vary. Possible answers include: max = 10 feet (the highest she can jump), min = 0 feet d: Exponential Integrated Math 1: Homework #4 Answers a: 8 b: 10 c: -2 d: no solutions you cannot take the square root of a negative number a: 2 b: 8 c: 2 t It does not pass through the point C(5, 3). The slope values are not the same for each of the respective points a: -6/10 or -3/5 b: -8/3 c: 10/3 d: a: a: 57 degrees; b: 123 degrees; c: 123 degrees b: d: 98 degrees; e: 98 degrees; f: 98 degrees c: g: 75 degrees; h: 75 degrees Selected Answers

4 Integrated Math 1: Homework #5 Answers a: Not a function because more than one y-value is assigned for x between 1 and 1 inclusive. b: Appears to be a function with coordinates given. c: Not a function because there are two different y-values for x = 7. d: Function, there is only one unique y-value for every x-value a: x-intercepts ( 1, 0) and (1, 0), y-intercepts (0, 1) and (0, 4) b: x-intercept (19, 0), y-intercept (0, 3) c: x-intercepts ( 2, 0) and (4, 0), y-intercept (0, 10) d: x-intercepts ( 1, 0) and (1, 0), y-intercept (0, 1) a: 2 b: 53 c: a: x = 7 b: x = 1 c: x = 9 d: x = Be sure to include illustrations for your explanations. You can intersect the line and circle at one point. You can intersect the line and circle at two points. You cannot intersect the line and circle at three points. Integrated Math 1: Homework #6 Answers a: yes b: 6 x 6 c: 4 y a: 3 b: 12 c: 3 d: a: 1 b: 1/625 c: 0 d: a: Yes, her equation makes sense. It is correct because the angles measures of x 10 degrees and 2x 1 degrees must add up to 90 degrees because the small square in the corner of the two lines means we have a 90 degree angle. b: x = 33; therefore, the angles measures are 67 degrees and 23 degrees. c: = a: 9,464 people per square mile b: 5,398,019,536 people #dayum Core Connections, Course 4

5 Integrated Math 1: Homework #7 Answers a: h 2 b: x 7 c: 9k 10 d: n 8 e: 8y 3 f: 28x 3 y a: Haley simplified correctly. You only add the exponent values when you are multiplying, not adding. b: Haley is not correct. You do not multiply the base values together. In order to add exponents, you have the same base. Haley should find 3 5 and 4 5 separately and then add the two numbers together a: 6.25 x 10 4 b: 6.57 x 10 3 c: 3.9 x d: 12 e: 18 f: a: x = -2 b: x = 3/2 c: x = 2/5 d: no solution Integrated Math 1: Homework #8 Answers a: 1/4 b: 1 c: 1/5 2 or 1/25 d: 1/x a: 2 b: a: Function, there is only one unique y-value for every x-value. b: Function, there is only one unique y-value for every x-value. c: Not a function, there is more than one y-value for every x-value. d: For a, the domain is all real numbers and the range is 1 y 3. For b, the domain is all real numbers and the range is y 0. For c, the domain x -2 and the range is all real numbers a: 1.6 x 10 8 b: x inches Selected Answers