Question

Clara cycles at a constant speed of 7 meters per second from west to east along a path. She passes a road sign during her ride. If t represents the number of seconds since Clara was 12 meters east of the road sign, write an expression to represent Clara's distance east of the road sign.

Answer 1

The linear equation that represents Clara's distance is: y = 7t + 12.

Linear Equation

Given m as unit rate, and b as initial value, a linear equation can be expressed as, y = mx + b.

In the scenario given in the question:

• t = no of seconds when Clara was 12 m east of the road sign
• 7 = unit rate
• y is the total distance of Clara east of the road sign
• 12 is the initial value

Therefore, the linear equation that represents Clara's distance is: y = 7t + 12.

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