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Jacob’s race could be represented with the equation y=34x+2: What was his speed? ​

User Karthik CP
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Final answer:

Jacob's speed, given by the equation y=34x+2, is 34 units of distance per unit of time, where 34 is the coefficient of x or the slope of the line on the distance-time graph.

Step-by-step explanation:

The equation y=34x+2 represents Jacob's speed at any given time during the race, where y is the distance covered and x is the time. The coefficient of x, which is 34, represents Jacob's constant speed in units of distance per unit of time (e.g., meters per second if we assume SI units). This value is the slope of the line on a graph plotting distance versus time, which indicates a linear relationship between distance and time and hence a constant speed.

Since the equation is linear and of the form y = mx + b, where m is the slope and represents the speed, and b is the y-intercept which represents the initial position, we can conclude that Jacob's speed is 34 units of distance per unit of time.

User TARJU
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