Currently, Jodi has a collection of 44 CDs and Veronica has a collection of 22 CDs. Jodi is adding 2 CDs per month to her collection; Veronica plans to add 4 CDs per month.

a. Write a system of equations for this situation. Explain your method.
b. Graph the system of equations. Describe your graph.
c. In how many months will they have the same number of CDs? What will be the number of CDs? Explain how you found the answer.
d. At the end of 2 months, who will have more CDs? Explain how you found the answer.

Question

Currently, Jodi has a collection of 44 CDs and Veronica has a collection of 22 CDs. Jodi is adding 2 CDs per month to her collection; Veronica plans to add 4 CDs per month. 

a. Write a system of equations for this situation. Explain your method. 
b. Graph the system of equations. Describe your graph. 
c. In how many months will they have the same number of CDs? What will be the number of CDs? Explain how you found the answer. 
d. At the end of 2 months, who will have more CDs? Explain how you found the answer.

anonymous · Answer

Jody = y1  Veronica = y2
x = months
y1 = 2x + 44
y2 = 4x + 22

Plot y1 and y2 against x 
Set y1=y2 to find when they will be equal

Evaluate y1 and y2 at x = 2 for comparing them at x=2months

anonymous · Answer

i have to agree with her answer