My Math Forum Interpreting Graphs

 Differential Equations Ordinary and Partial Differential Equations Math Forum

 April 4th, 2019, 06:28 PM #1 Newbie   Joined: Jan 2019 From: tornto Posts: 20 Thanks: 0 Interpreting Graphs A liquid is heated in lab using hot plate the graph temperature vs time is shown below https://imgur.com/c6ehBn5 answer using letter A, B, C, D FROM THE ABOVE GRAPH 1) WHERE IS THE RATE OF CHANGE ZERO? 2) WHERE IS THE RATE OF CHANGE CHANGING? 3) WHERE IS THE RATE OF CHANGE POSITIVE? 4) WHERE IS THE RATE OF CHANGE GREATEST? 5) CALCULATE RATE OF CHANGE FOR SECTION A, INCLUDING UNITS? MY ANSWER FOR 1) C 2) B 3) A 4) D 5) NOT SURE HOW TO SOLVE PLEASE CHECK MY ANSWERS AND HELP ME THANKS
 April 4th, 2019, 07:00 PM #2 Senior Member     Joined: Sep 2015 From: USA Posts: 2,408 Thanks: 1310 rate of change is essentially the slope of the graph. You got 1) correct for 2) a constant rate of change indicates a straight line with some slope. A changing rate of change is indicated by a curved, i.e. not straight, line. See if you can answer this now. 3) You correctly identified A but there is another labelled section with a positive rate of change. 4) The greatest rate of change corresponds to the steepest slope. This looks like it should be section B 5) Just pick two points along A and use them to calculate the slope. I'd use (0,0) and (20,30)
April 4th, 2019, 07:55 PM   #3
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 Originally Posted by romsek rate of change is essentially the slope of the graph. You got 1) correct for 2) a constant rate of change indicates a straight line with some slope. A changing rate of change is indicated by a curved, i.e. not straight, line. See if you can answer this now. 3) You correctly identified A but there is another labelled section with a positive rate of change. 4) The greatest rate of change corresponds to the steepest slope. This looks like it should be section B 5) Just pick two points along A and use them to calculate the slope. I'd use (0,0) and (20,30)

For question 2) i am thinking its D because constant rate is changing

FOR QUESTION 3) SHOULD BE A AND B?

THANKS

April 4th, 2019, 08:39 PM   #4
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 Originally Posted by yorkmanz for question 2) i am thinking its d because constant rate is changing for question 3) should be a and b? Waiting for your feedback thanks
2) yes

3) yes

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