Final answer:
CO Tammy can set up a linear equation 63 + 9w = 198 to calculate the number of weeks needed to save for a bike. After solving the equation, it is determined that it would take Tammy 15 weeks to have enough money to buy the bike.
Step-by-step explanation:
When figuring out how many weeks it will take for CO Tammy to have enough money to buy a bike that costs $198, we can set up a simple linear equation. Tammy already has $63, and she will save an additional $9 each week. We let w represent the number of weeks she needs to save. The equation can be written as:
63 + 9w = 198
This equation reflects the starting amount of $63 plus $9 for each week (9w), equaling the total cost of the bike, $198. To solve for w, we subtract 63 from both sides of the equation, giving us 9w = 135. Then, we divide by 9 to find w, leading to w = 15. This means it will take Tammy 15 weeks to save enough money to purchase the bike.