Question

Question 1

You download a digital album for $10. Then you and your friend download the same number of individual songs for $0.99 each. Write a system of linear equations that represents this situation. Let x represent the number of individual songs downloaded and y represent the total cost.

System of equations: y=

y=


Question 2
Will you and your friend spend the same amount of money? Explain.

Because you paid $10 for a digital album, and your friend
, before buying the same number of songs at the same price, you spend
your friend.

Answer 1

The total cost y can be represented as the sum of the cost of the digital album and the cost of the individual songs:

y = 10 + 0.99x

Since you and your friend download the same number of individual songs, the value of x is the same for both of you. Therefore, the system of linear equations that represents this situation is:

y = 10 + 0.99x (for you)

y = 10 + 0.99x (for your friend)

Note that the equations are the same, as the cost of the individual songs is the same for both of you.

No, you and your friend will not spend the same amount of money. Although you both download the same number of individual songs at the same price, you have already paid an additional $10 for the digital album. Therefore, your total cost will be higher than your friend's total cost by $10.