Julieta has been in the car with her family on a road trip for the past three hours. For the first hour, they went about 55 mph. Then, the speed limit changed and they started going about 70 mph. They are still going 70 mph.
Use Geogebra or Desmos to create a graph that models the distance Julieta’s family has traveled over time during their road trip. Take a screenshot and paste it here
(5 points)

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Question 2
What does the slope of your graph at any given time represent?(2 points)
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Question 3
Create a piecewise function that models the distance Julieta's family has traveled over time.(2 points)
f(x)=
𝑓
(
𝑥
)
=
{ when 0<x≤1
0
<
𝑥
≤
1
} and { when x>1
𝑥
>
1
}
Question 4
Two and a half hours into the road trip how far had julietas family traveled round to the nearest whole number
Question 2
The slope of the graph at any given time represents the speed at which Julieta's family is traveling. Since distance is the product of speed and time, the slope represents the rate of change of distance traveled over time.
Question 3
The piecewise function that models the distance Julieta's family has traveled over time is:
f(x) =
{
55x, 0 < x ≤ 1
55 + 70(x-1), x > 1
}
Question 4
Two and a half hours into the road trip, Julieta's family had traveled approximately 167 miles.