AnswersMO-Algebra II AModeling with Systems

Modeling with Systems Answers

39 verified answers
1
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What is the slope of the line that represents the turtle's path?

Answer:

0.8

2
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What does the t-coordinate of the solution to this system represent?

A
the time at which the ball and the dog hit the ground
B
the time at which the ball and the dog begin moving
C
the time at which the ball and the dog's mouth are at the same height
3

How much will it cost the company to make 600 helmets?$

Answer:

15,600

4

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

Answer:

0.5

5

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

Answer:

7

6

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

A
y = 0 and y = -0.12(x - 20)2
B
y = 0.8x and y = -0.12x2 + 20
C
y = 0.8x and y = -0.12(x - 20)2
D
y = 0.8x + 8 and y = -0.12x2 + 20
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 =

Answer:

h = 3, k = 7, a = -0.5

8

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

A
h = 4.5t + 18 and h = -16t2 + 1.5t + 21
B
h = 18t + 4.5 and h =-16t2 + 21t + 1.5
C
h = -16t2 + 4.5t + 18 and h = -16t2 + 1.5t + 14
D
h = -16t2 + 18t + 4.5 and h = -16t2 + 21t + 1.5
9

Which system models this situation?

A
y = 26x and y = 8,400(x-500)2+15,900
B
y = 26x and y = -0.030(x-500)2+15,900
C
y = x/26 and y = -0.030(x-500)2+15,900
D
y = x/26 and y =8,400(x-500)2+15,900
10

Which system models this situation?

A
h = 3t+10 and h = -16t2+15t+6
B
10t+3 and h = -16t2+6t+15
C
-16t2+3t + 10 and h =-16t2+15t+6
D
-16t2+10t + 3 and h = -16t2+6t+15
11

How many real solutions does the system of equations have?

A
none
B
one
C
two
D
infinitely many
12

What can you conclude about the paths of the skaters?

A
There is no chance that the skaters will hit each other.
B
The skaters' paths cross each other at two different points on the rink.
C
The skaters are traveling on the same path, but possibly in different directions.
13

Question text not available

Answers:
Blank 1:6
Blank 2:10
Blank 3:8
14

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

Answers:
Part 1:6
Part 2:10
Part 3:8
15

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

Answer:

0.8

16

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

A
h = 4.5t + 18 and h = -16t2 + 1.5t + 21
B
h = 18t + 4.5 and h =-16t2 + 21t + 1.5
C
h = -16t2 + 4.5t + 18 and h = -16t2 + 1.5t + 14
D
h = -16t2 + 18t + 4.5 and h = -16t2 + 21t + 1.5
17

Which system models this situation?

A
y = 26x and y = 8,400(x-500)2+15,900
B
y = 26x and y = -0.030(x-500)2+15,900
C
y = x/26 and y = -0.030(x-500)2+15,900
D
y = x/26 and y =8,400(x-500)2+15,900
18

Which system models this situation?

A
h = 3t+10 and h = -16t2+15t+6
B
10t+3 and h = -16t2+6t+15
C
-16t2+3t + 10 and h =-16t2+15t+6
D
-16t2+10t + 3 and h = -16t2+6t+15
19

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

A
y = 0.08x2-1.6x+13 and y = 0.08(x-10)2+5
B
y = 0.08x2-1.6x+13 and y = 1.6(x-10)2+5
C
y = 0.08x2-1.6x+13 and y = 0.8(x-10)2+5
D
y = 0.08x2-1.6x+13 and y = 5(x-10)2+5
20

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

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

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