Modeling with Systems

Question 1

Which system of equations models the paths of the two skaters?

Revolt · Accepted Answer

y = 0.08x2-1.6x+13 and y = 0.08(x-10)2+5

Question 2

Complete the system that models the heights of the ball and the receiver’s hands over time. h = -16t² + 14t +

Revolt · Accepted Answer

Part 1: 6; Part 2: 10; Part 3: 8

Question 3

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 4

How many real solutions does the system of equations have?

Revolt · Accepted Answer

infinitely many

Question 5

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

s path?h =: 0; s path?h =: 20; s path?h =: -3/25

Question 6

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 7

How many helmets must the company make and sell to break even? helmets

Revolt · Accepted Answer

600

Question 8

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 9

How many real solutions does the system of equations have?

Revolt · Accepted Answer

infinitely many

Question 10

Which facts did your response include?

Revolt · Accepted Answer

The cost to produce 400 caps is the same as the income made from selling 400 caps.; The company will break even when it sells 400 caps; it will not make a profit.

Modeling with Systems Answers

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