EXAMPLE 1 Solving a Real-World Problem Music Club You pay $9.95 to join an Internet music club. You pay $.99 for each song that you download. Your cost.

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Presentation transcript:

EXAMPLE 1 Solving a Real-World Problem Music Club You pay $9.95 to join an Internet music club. You pay $.99 for each song that you download. Your cost for joining and downloading some songs is $ How many songs did you download?

EXAMPLE 1 Solving a Real-World Problem The model below represents a way of finding how many songs you downloaded. You can use x to represent the number of songs.

EXAMPLE 1 Solving a Real-World Problem SOLUTION – x7.92 = 0.99x x = 8 Write an algebraic model. Subtract 9.95 from each side to undo addition. Simplify. Divide each side by 0.99 to undo multiplication. Simplify. x is by itself. ANSWERYou downloaded 8 songs. = x

for Example 1 GUIDED PRACTICE 1. Show how to check the solution in Example = ? = ? =

for Example 1 GUIDED PRACTICE SOLUTION Cost to join + Cost per song Number of songs = Total cost Write an algebraic model. –9.95 Subtract 9.95 from each side to undo addition. 0.99x = Simplify x = What If? Suppose the cost to join and download some songs is $ How does this change the equation in Example 1 ? Find the number of songs.

for Example 1 GUIDED PRACTICE Divide each side by 0.99 to undo multiplication. 0.99x = x = 17 ANSWERYou downloaded 17 songs.

for Example 1 GUIDED PRACTICE 3. Film You pay $35 in dues to a photo club and $10 per roll you have developed. If you spend $225 during the year, how many rolls of film do you have developed? Use 10x + 35 = 225 and solve for x. ANSWERYou developed 19 rolls of films.