Modeling with Systems

Question 1

What is the slope of the line that represents the turtle's path?

Revolt · Accepted Answer

0.8

Question 2

The system has no real solutions. What does this indicate about the worker's arms and the measuring tape?

Revolt · Accepted Answer

They will never be at the same height at the same time.

Question 3

What can you conclude about the paths of the skaters?

Revolt · Accepted Answer

The skaters are traveling on the same path, but possibly in different directions.

Question 4

After seconds, the receiver's hands and the ball will be at the same height.

Revolt · Accepted Answer

0.5

Question 5

The receiver's hands and the ball are at the same height at ft above the ground.

Revolt · Accepted Answer

7

Question 6

Which system of equations could you use to determine where the paths intersect?

Revolt · Accepted Answer

y = 0.8x and y = -0.12x2 + 20

Question 7

What are the values of the constants in the vertex form of the quadratic equation that models the bird's path?h = k = a =

Revolt · Accepted Answer

Part 1: -0.12; h = 3, k = 7, a = -0.5

Question 8

Which system models the height of the tennis ball and the height of the dog's mouth over time?

Revolt · Accepted Answer

h = -16t2 + 18t + 4.5 and h = -16t2 + 21t + 1.5

Question 9

What does the t-coordinate of the solution to this system represent?

Revolt · Accepted Answer

the time at which the ball and the dog's mouth are at the same height

Question 10

Which system models this situation?

Revolt · Accepted Answer

y = 26x and y = -0.030(x-500)2+15,900

Modeling with Systems Answers