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A car travels at a constant speed, as shown on the double number line. Double number line. Time, hours. Distance, kilometers. How far does the car travel in 14 hours? Explain or show your reasoning.

User Tenzian
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1 Answer

4 votes

Answer:

980 km.

Explanation:

The speed of the car is constant,

From the double number line:

When the time is 0 hour, the distance covered is 0 km.

When the time is 1 hour, the distance covered is 70 km.

When the time is 2 hours, the distance covered is 140 km,

which can be written as

when the time is 2 hours, the distance covered is 70 x 2 km.

Similarly,

When the time is 3 hours, the distance covered is 210= 70 x 3 km.

This can be generalized as,

When the time is n hours, the distance covered is 70 x n km, i.e

The distance traveled in n hours = 70 x n km.

So, for 14 hours, n= 14,

Hence, the distance traveled in 14 hours = 70 x 14= 980 km.

User Samir Tendulkar
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