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8090 [49]
1 year ago
8

Yoki is running a 10-mile race. She runs at a steady speed and then slows down, stops to get a drink of water, and then runs fas

t to get back in the race. Which graph best represents the situation? A graph with time on the x-axis and speed on the y-axis. The graph is constant, decreases, is constant, and then increases. A graph with time on the x-axis and speed on the y-axis. The graph increases, is constant, decreases, and then increases. A graph with time on the x-axis and speed on the y-axis. The graph increases, decreases, is constant at a speed of 0, and then steadily increases. A graph with time on the x-axis and speed on the y-axis. The graph is constant, decreases to 0, is constant at a speed of 0, and then increases.
Mathematics
2 answers:
Eddi Din [679]1 year ago
5 0

Answer:

d

Step-by-step explanation:

yawa3891 [41]1 year ago
4 0

This is late, but for anyone searching the answer up in the future, the answer on Edg.enuity is the last one -  where the graph starts out as a horizontal line, then decreases and touches the x-axis, then increases again.

Good luck on your assignment !!

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The function D(t) defines a traveler's distance from home, in miles, as a function of time, in hours. D(t) = StartLayout enlarge
nalin [4]

- At 2 hours, the traveler is 725 miles from home.

- At 3 hours, the distance is constant, at 880 miles. --> TRUE.

- The total distance from home after 6 hours is 1,062.5 miles --> TRUE.

Step-by-step explanation:

The function D(t) is defined as follows:

D(t) = 300t+125 for t< 2.5

D(t) = 880 for 2.5 \leq 3.5

D(t) = 75t+612.5 for t\leq 6

Where

t is the time in hours

D(t) is the distance covered, in miles, after t hours

Now let's analyze the different statements:

- The starting distance, at 0 hours, is 300 miles. --> FALSE. In fact, if we substitute t = 0 into the 1st equation, we get

D(0) = (300)(0)+125 = 125

So, the distance at t = 0 is 125 miles.

- At 2 hours, the traveler is 725 miles from home. --> TRUE. In fact, if we substitute t = 2 into the 1st equation,

D(2) = (300)(2)+125 = 725

- At 2.5 hours, the traveler is 875 miles from home. --> FALSE. In fact, for t=2.5 we have to use the 2nd equation, which states that the distance is:

D(t) = 880

So, not 875 miles.

- At 3 hours, the distance is constant, at 880 miles. --> TRUE. This is clearly visible from the 2nd equation: for t between 2.5 and 3.5 (so, in this case), the distance is

D(t) = 880

- The total distance from home after 6 hours is 1,062.5 miles --> TRUE. In fact, if we replace t = 6 into the last equation,

D(6)) = 75(6)+612.5=1062.5

Learn more about functions:

brainly.com/question/3511750

brainly.com/question/8243712

brainly.com/question/8307968

Learn more about  distance:

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