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Question

# Analyse the graph of climate change of 4 different countries in a particular time. Find out which two functions have same rate of change.

A
A and B
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B
B and D
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C
B and C
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D
A and C
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Solution

## The correct option is B B and DThe rate of change=Change in yChange in x Let's find out the rate of change of graph A Time (in months) 2 8 Temperature (in °C) 60 60 Rate of change=60 − 608 − 2 =0 ∴The rate of change of graph A is 0. Let's find out the rate of change of graph B Time (in months) 2 8 Temperature (in °C) 0 60 Rate of change=60 − 08 − 2 =10 ∴The rate of change of graph B is 10. Let's find out the rate of change of graph C Time (in months) 0 6 Temperature (in °C) 60 0 Rate of change=0 − 606 − 0 =−10 ∴The rate of change of graph C is -10. Let's find out the rate of change of graph D Time (in months) 0 6 Temperature (in °C) 20 80 Rate of change=80 − 206 − 0 =10 ∴The rate of change of graph D is 10. Hence, the rate of change of graph B and D is same.

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