Cbse Open Text Based Assessment Worksheet - Class Ix - Board Of High School And Intermediate Education - 2015-2016 Page 15

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24. Consider the calorie measure of the food prepare at a particular restaurant is ‘k’ times
the food prepare at home. Suppose 770 calories measure at restaurant is 420 calories
measure when prepared at home. Find the value of k.
(i) If the calorie measure of food article is 264 at home, what will be the calorie
measure of that article prepared at same restaurant.
(ii) If the calorie measure of food article prepared at the given restaurant is 264, what
will be the calorie measure of that article prepared at home?
(3 marks)
25. What is BMI? Taking the height as 215 cm, form a linear equation in two variables,
taking BMI as x and weight as y kg. Draw the graph also.
(3 marks)
26. If square of height in metres is equal to the ratio of weight in kg to the Body mass
index(BMI), then taking the height as 170 cm, form a linear equation in two variables
taking weight as x kg and body mass index as y. Draw its graph.
(3 marks)
27. Seeta and Geeta are friends. Both of them want to burn same amount of calories by
performing physical activity. For the same, Seeta walks for 25 minutes and runs for 30
minutes.
Geeta chooses running and running up stairs as the physical activity to burn the
calories. If she spends t minutes in running and s minutes in running up stairs, then
express her fitness schedule as a linear equation in t and s. Also, draw the graph of the
linear equation taking time spend in running on the y-axis and the time spend in
running up stairs on the x-axis.
(4 marks)
Disclaimer: Unit of the calorie burnt is cal/min instead of k. cal/min as given in the
table in the text.
28. In a marriage party Chaitra took 2 Cheese burger, one samosa, 2 Medium French fries
and 200ml cola. If she wants to burn extra calories by doing three physical activities;
walking, dancing and running. Establish a linear relationship between (i) walking and
dancing (ii) dancing and running.
(3 marks)
29. Aditya want to burn 150 kilocalories in a day. He decided to walk for ‘x’ minutes and
jog for ‘y’ minutes. Form a linear equation between walking and jogging and draw its
graph.
(4 marks)
30. Vishwanath want to burn 250 kilocalories in a day. He decided to walk for ‘x’ minutes
and run for ‘y’ minutes. Form a linear equation between walking and running and draw
its graph.
(4 marks)
Prepared by: M. S. KumarSwamy, TGT(Maths)
Page - iv -

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