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In this lesson, we will learn how to solve problems by identifying linear patterns in concepts.

Q1:

The graph shows the relationship between distance and time in a 160-meter race between a hare and a tortoise. Determine the winner, and then find the average speeds of the hare and the tortoise.

Q2:

A school organised a trip where there is a fixed cost of 3 1 7 p o u n d s and the rest of the cost is dependent on the number of students attending. The total cost for a trip with 3 5 p o u n d s students is 5 9 7 p o u n d s . Find the total cost of the trip for 60 students given the relationship between the total cost and the number of students is linear.

Q3:

A school organised a trip where there is a fixed cost of 7 8 p o u n d s and the rest of the cost is dependent on the number of students attending. The total cost for a trip with 1 0 p o u n d s students is 4 2 8 p o u n d s . Find the total cost of the trip for 25 students given the relationship between the total cost and the number of students is linear.

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