22. Suppose we are driving down the highway at a constant speed. After 1 hour, we've driven 70 miles and after 2 hours, we've driven 140 miles. If we let \( y= \) total distance driven and \( x= \) time on the road, in hours, find an equation of a line representing our total distance in terms of how many hours we've been driving. \[ y=70 x+140 \] \( y=70 x \) None of these are correct.
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Oops! While you were zooming down the highway, you might have taken a wrong turn in your equation. The correct way to express the relationship between distance and time in this scenario would actually be \( y = 70x \). Why? Because you're consistently traveling 70 miles every hour, so the total distance is solely dependent on the time driven multiplied by that constant speed. Driving at a steady pace makes it super easy to calculate distances! Just remember, if your speed was, say, 70 miles per hour, you’ll want to multiply this speed by the time in hours to get your total distance. So, for 3 hours, you'd just plug in 3 for \( x \): \( y = 70 \times 3 = 210 \) miles! Easy peasy!
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