Question 166915
After visiting relatives who live 200 miles away, your family drives home at an average speed of 50 miles per hour. Your distance d (in miles) from home is given by d = 200 - 50t where t is the time (in hours) spent driving. Graph the function and identify its domain and range. What is your distance from home after driving for 1.5 hours?
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A graph of this:
{{{ graph( 300, 200, -4, 5, -100, 225, 200-50x) }}}
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You can see from the graph:
Domain; 0 to +4
Range: 0 to +200
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What is your distance from home after driving for 1.5 hours?
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You can estimate this from the graph, however find the exact solution:
Substitute 1.5 for t in the equation:
d = 200 - 50(1.5)
d = 200 - 75
d = 125 mi in 1.5 hrs

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