Exploring Systems in the Real World Answers

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If the variable c represents the number of classes, what is the other variable for the scenario?

A
d, representing the number of dogs in each class
B
h, representing the number of hours
C
p, representing the number of programs
D
t, representing the total cost
4

Explain how you would graph the system of equations and why you would use that method.t = 5c + 35,t = 10c

Answer:

I would label the horizontal axis c and the vertical axis t. I would plot the yintercept for each equation, which would be 35 and 0. Then, I would use the slope, or rate of change, to get another point on the line. From 35, I would go right 1 and up 5. From 0, I would go right 1 and up 10. I would use this method because both equations are written in slopeintercept form.

5

How many solutions will the system have? What is the reason you determined that number of solutions?

Answers:
Selection 1:one solution
Selection 2:The equations graph intersecting lines.
6

Question text not available

Answers:
Selection 1:one solution
Selection 2:The equations graph intersecting lines.
8

Describe how to interpret the solution of the system of equations to solve a problem.

Answer:

Locate on the graph the point of intersection of the two linear equations. Determine which variable represents the values of the ordered pair by looking at the labels on the axes. Identify which coordinate goes with the variable needed to answer the question.

9

Is his answer correct? If not, what was his mistake?

A
Yes, he is correct.
B
No, he did not use the intersection point.
C
No, he switched the values for the variables.
D
No, he needs to use the y-intercepts.
10

Which did you include in your response? Check all that apply.

A
Plot the y-intercept.
B
Use rise over run to get another point.
C
Draw a line through the two points.
11

Which did you include in your response? Check all that apply.

A
Find the intersection point.
B
Relate each coordinate to the corresponding variable.
C
Use the appropriate variable to answer the question.

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