Select the comect option. Maha pays a fee to join a tenitis club. The total cost for 3 monthis is AEO 900, and for 6 months, it is AED 1,500. Write the equation of the function in the form \( y=m x+b \). (1) \( y=200 x+300 \) \( y=300 x-300 \) \( y=200 x+900 \) \( y=900 x+1500 \)

Let's break this down! The cost for 3 months is AED 900, and for 6 months, it's AED 1,500. The first step is to determine the cost per month, which can be derived from these two points. If we set \( x \) as the number of months and \( y \) as the cost, we find that the slope \( m \) (cost per month) is \( \frac{1500 - 900}{6 - 3} = \frac{600}{3} = 200 \). Now, since we know the total cost for 3 months, we can substitute into the equation: \( y = 200x + b \) becomes \( 900 = 200(3) + b \), giving \( b = 300 \). Thus, the equation is \( y = 200x + 300 \). For practical applications, understanding linear equations like this one can really help when budgeting! Whenever you join clubs or sign up for any services that charge monthly fees, you can use this equation to predict costs over various time frames. Just plug in the months, and you'll see the number dancing in your bank account! If you want to dive deeper into this topic, consider exploring resources on linear functions. There are plenty of online platforms where you can find interactive lessons, such as Khan Academy, or check out mathematics textbooks that focus on algebra and its applications in real life. You might stumble upon fun exercises that bring the theory to life!