Answer :

(i) From the given condition for x and y axis, and observing from the graph it can be seen that for one hour the distance covered is 30km.


The relation is linear for the time and distance. As time increases the distance covered also increases.


(ii) As in 1 hour, 30 km distance is covered hence 3 hours the distance covered is 3×30=90 km. And from the graph it can be seen that (3, 90) is one of the point on the line, so the x coordinate represents the time in hours and y coordinates represents the distance in km.


(iii) As in 1 hour, 30 km distance is covered hence for 120km the time taken is hours. And from the graph it can be seen that (4, 120) is one of the point on the line, so the x coordinate represents the time in hours and y coordinates represents the distance in km. the time required to cover 120 km.


(iv) The formula for velocity is, hence the velocity will be km per hour. Hence for 1 hour distance covered is 30 km, so the corresponding velocity will 30 km/hr And for 2 hour distance covered is 60 km, so the corresponding velocity will 30 km/hr. So the graph has velocity of 30km/hr.


(v) As in 1 hour, 30 km distance is covered hence hours the distance covered is km. And from the graph it can be seen that (2.5, 75) is one of the point on the line, so the x coordinate represents the time in hours and y coordinates represents the distance in km


(vi) As in 1 hour, 30 km distance is covered hence for 45km the time taken is hours. And from the graph it can be seen that (1.5, 45) is one of the point on the line, so the x coordinate represents the time in hours and y coordinates represents the distance in km. the time required to cover 45 km.


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