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David's family is taking a road trip to Niagara Falls. His mom drove the first day, and his dad is driving the second day. His dad's entire drive is on the freeway, and he drives at a constant speed without stopping. The graph shows the linear relationship between the time, in hours, David's dad spends driving and the total distance they have driven since leaving home.

Davids family is taking a road trip to Niagara Falls His mom drove the first day and his dad is driving the second day His dads entire drive is on the freeway a class=


Answer :

The information given from the distance–time graph that represents the distance David's dad has driven, D, over a given time, t are as follows:

  • The completed equation that models the relationship between distance, D, and time, t, is: D = 60·t + 280
  • The completed statement is: David's dad is driving 60 miles per hour. This speed is represented by the slope of 60 miles per hour. The distance David's mom drove is represented by the constant of 280 miles.

What is a distance–time graph?

A distance–time graph, is a graph that shows the variation of distance with time.

The information given on the straight line graph include the points (2, 400) and (7, 700)

The slope of the graph which gives the speed at which David's dad is driving is therefore:

[tex]Slope = Speed = \dfrac{700 \ mi -400\ mi}{7\, hours-2\, hours} =\dfrac{300\ mi}{5\, hours} = 60\ miles\ per \ hour[/tex]

The equation of the graph in point and slope form is therefore:

y - 400 = 60 × (x - 2)

Which gives: y = 60·x + 280

Where:

y = D = The distance and x = t = The time duration of driving

The completed equation is therefore:

D = 60·t + 280

The completed statement is therefore: David's dad is driving 60 miles per hour. This speed is represented by the slope of 60 miles per hour. The distance David's mom drove is represented by the constant of 280 miles.

Learn more about the distance time graph here:

https://brainly.com/question/13877898

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