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Sagot :
Answer:
Step-by-step explanation:
This is a piece-wise function.
The distance function depends on what time period is involved.
From t=0 to t=0.75, the distance function is: .3t
. . By the end of the 45 minutes, he has gone 2.25 miles.
From t=0.75 to t=2, the distance function is: .2.25+5t
. . By the end of the 75 minutes, he has gone another 6.25 miles, a total of 8.5 miles.
From t=2 to t=2.5, the distance function is: .8.5+0t=8.5
. . By the end of the 30 minutes, he hasn't moved; his total is still 8.5 miles.
From t=2.5 to 4, the distance function is: .8.5+3t
. . By the end of the 90 minutes, he has gone another 4.5 miles, a total of 13 miles.
The function would be written like this:
d(t) = 3t 0 ≤ t ≤ 0.75
2.25+5t 0.75≤t<2
8.5 2≤t≤2.5
8.5+3t 2.5<t<4
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