Question

Our goal is to determine who won the race. - Read the above problem statement again, then explain in writing on a sheet of paper how you will determine who won the race. - Construct a drawing to represent the 100 -meter length of the track. Then place the tortoise and hare's starting points on the track. - Define the variable \( t \) to represent the number of seconds since the start of the race. a. Write an expression to represent the Tortoise's distance from the starting line in terms of \( t \). - Illustrate this varying distance on your drawing using a dashed vector. Try again. Reread the problem context carefully and look at the drawing you created. The tortoise has a head start and crawls at a speed of \( 0.6 \) meters per second. How far is the tortoise from the starting line at the beginning of the race? How far would the tortoise be from the starting line if 1 second has passed? 3 seconds? \( t \) seconds? b. Represent the Hare's distance from the starting line in terms of \( t \). - Illustrate this varying distance on your drawing using a dashed vector. Almost, try again. Reread the problem context carefully and look at the drawing you created. What is the hare's initial distance from the starting line? As 1 second passes how far has the hare run? 3 seconds? \( 4.4 \) seconds? \( t \) seconds? c. Write a formula to represent the distance, \( d \) (in meters), that the tortoise is ahead of the hare in terms of \( t \), the amount of time since the start of the race. d. What is the value of \( t \) when the Hare catches up to the Tortoise? ( \( \underline{\text { Hint }} \) ) Preview e. How far has the hare run from the start of the race when he catches up to the tortoise? Preview tortoise? As 1 second passes how has the tortoise's distance from the starting line changed? What about the hare's distance? Moreove the what is the distance between the hare and tortoise after 1 second has elapsed? What about after 2 seconds? Use your answer from part (a) and (b) to help you represent \( d \). f. On the graph below: i. construct a graph that represents the distance, \( d \), that the tortoise is ahead of the hare in terms of the number of seconds, \( t \), since the start of the race. ii. Plot the point \( (10,24) \) on your graph.

          Our goal is to determine who won the race.
- Read the above problem statement again, then explain in writing on a sheet of paper how you will determine who won the race.
- Construct a drawing to represent the 100 -meter length of the track. Then place the tortoise and hare's starting points on the track.
- Define the variable \( t \) to represent the number of seconds since the start of the race.
a. Write an expression to represent the Tortoise's distance from the starting line in terms of \( t \).
- Illustrate this varying distance on your drawing using a dashed vector.
Try again. Reread the problem context carefully and look at the drawing you created. The tortoise has a head start and crawls at a speed of \( 0.6 \) meters per second. How far is the tortoise from the starting line at the beginning of the race? How far would the tortoise be from the starting line if 1 second has passed? 3 seconds? \( t \) seconds?
b. Represent the Hare's distance from the starting line in terms of \( t \).
- Illustrate this varying distance on your drawing using a dashed vector.
Almost, try again. Reread the problem context carefully and look at the drawing you created. What is the hare's initial distance from the starting line? As 1 second passes how far has the hare run? 3 seconds? \( 4.4 \) seconds? \( t \) seconds?
c. Write a formula to represent the distance, \( d \) (in meters), that the tortoise is ahead of the hare in terms of \( t \), the amount of time since the start of the race.
d. What is the value of \( t \) when the Hare catches up to the Tortoise? ( \( \underline{\text { Hint }} \) ) Preview
e. How far has the hare run from the start of the race when he catches up to the tortoise? Preview
tortoise? As 1 second passes how has the tortoise's distance from the starting line changed? What about the hare's distance? Moreove the what is the distance between the hare and tortoise after 1 second has elapsed? What about after 2 seconds? Use your answer from part (a) and (b) to help you represent \( d \).
f. On the graph below:
i. construct a graph that represents the distance, \( d \), that the tortoise is ahead of the hare in terms of the number of seconds, \( t \), since the start of the race.
ii. Plot the point \( (10,24) \) on your graph.

Our goal is to determine who won the race.
- Read the above problem statement again, then explain in writing on a sheet of paper how you will determine who won the race.
- Construct a drawing to represent the 100 -meter length of the track. Then place the tortoise and hare's starting points on the track.
- Define the variable t to represent the number of seconds since the start of the race.
a. Write an expression to represent the Tortoise's distance from the starting line in terms of t.
- Illustrate this varying distance on your drawing using a dashed vector.
Try again. Reread the problem context carefully and look at the drawing you created. The tortoise has a head start and crawls at a speed of 0.6 meters per second. How far is the tortoise from the starting line at the beginning of the race? How far would the tortoise be from the starting line if 1 second has passed? 3 seconds? t seconds?
b. Represent the Hare's distance from the starting line in terms of t.
- Illustrate this varying distance on your drawing using a dashed vector.
Almost, try again. Reread the problem context carefully and look at the drawing you created. What is the hare's initial distance from the starting line? As 1 second passes how far has the hare run? 3 seconds? 4.4 seconds? t seconds?
c. Write a formula to represent the distance, d (in meters), that the tortoise is ahead of the hare in terms of t, the amount of time since the start of the race.
d. What is the value of t when the Hare catches up to the Tortoise? ( Hint ) Preview
e. How far has the hare run from the start of the race when he catches up to the tortoise? Preview
tortoise? As 1 second passes how has the tortoise's distance from the starting line changed? What about the hare's distance? Moreove the what is the distance between the hare and tortoise after 1 second has elapsed? What about after 2 seconds? Use your answer from part (a) and (b) to help you represent d.
f. On the graph below:
i. construct a graph that represents the distance, d, that the tortoise is ahead of the hare in terms of the number of seconds, t, since the start of the race.
ii. Plot the point (10,24) on your graph.

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