Math111i_Test1_Solutions

Math111i_Test1_Solutions - Math 111I Sec 001 Test 1...

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Unformatted text preview: Math 111I Sec 001 Test 1 Solutions Name Directions: Read each question carefully and answer in the space pro- vided. The use of calculators is allowed, but not necessary. There are 100 points possible. To receive partial credit on any problem work must be shown. 1. (10 points) Given the two tables determine if the data is linear. If it is linear, then give the equation of the line it describes. If it is not linear, then state that it is not linear. (a) x-4-3-2-1 1 2 3 4 y 14 11 8 5-1-4-7-10 (b) x-8-6-5-3-2 1 2 y 8 4 2-1-3-8-10-12 Solutions. (a) If you check the average rate of change between each of the domain values given you see that they are all equal and they are m =- 3. So we pick a point, say (- 1 , 5) and we plug in to the equation y =- 3 x + b to solve for b y =- 3 x + b 5 =- 3(- 1) + b 5 = 3 + b 2 = b. Thus, the equation of the line in part (a) is y =- 3 x + 2. (b) Lets check a couple of the different average rates of change for (b). m [- 8 ,- 6] = 8- 4- 8- (- 6) =- 2 , and m [- 5 ,- 3] = 2- (- 1)- 5- (- 3) = 3- 2 6 =- 2 . So this function could not be linear. 2. (5 points) Consider the following table giving the values for height and weight for 5 individuals. Math 111I Sec 001 Test 1 Solutions Height 60 75 68 68 64 Weight 146 175 146 126 138 (a) Based on this data, is weight a function of height? (b) Is height a function of weight? Solutions. (a) Weight is not a function of height. (b) Height is not a function of weight. Both of these are not functions because they have input values that go to two separate output values....
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Math111i_Test1_Solutions - Math 111I Sec 001 Test 1...

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