SOLUTION The equation \( d=17 t \) gives the distance a raccoon runs in feet as a function of time in seconds. The graph shows the distance a squirrel runs over time. Does the raccoon or the squirrel run faster? Show your work.
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Bonus Knowledge
To determine who runs faster, we can compare the rates of distance covered per unit of time for both the raccoon and the squirrel. The equation \( d = 17t \) tells us that the raccoon runs 17 feet for every second. This gives the raccoon a speed of 17 feet per second. Next, let's analyze the squirrel's distance over time from the graph. If we can extract the slope of the squirrel’s distance-time graph (which represents its speed), we can compare it to the raccoon's speed. For example, if the squirrel runs 34 feet in 2 seconds, its speed will be \( \frac{34 \text{ feet}}{2 \text{ seconds}} = 17 \text{ feet per second} \) as well. Once you have the squirrel's speed calculated, simply compare it to 17 feet per second. If it's higher, the squirrel is faster; if equal, they run at the same speed; and if lower, the raccoon is faster. Without the specific data from the graph, that's the general method!
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