Use the information given to answer the A bakery has 750 cookie decorating kits - There are 300 kits pre-sold online - The function \( f(x)=750-(50 x+ \) Part B What does \( f(9)=0 \) represent? O There are 9 cookie decorating kits sold There are 9 cookie decorating kits avai There are 0 cookie decorating kits sold There are 0 cookie decorating kits avai

To solve this problem, let's first clarify the function and the context provided. 1. **Known Conditions:** - The bakery has a total of 750 cookie decorating kits. - 300 kits are pre-sold online. - The function given is \( f(x) = 750 - (50x) \). 2. **Understanding the Function:** - The function \( f(x) \) represents the number of cookie decorating kits available after selling \( x \) kits. - The term \( 50x \) indicates that for each kit sold, 50 kits are accounted for in the function. 3. **Interpreting \( f(9) = 0 \):** - To find out what \( f(9) = 0 \) represents, we can substitute \( x = 9 \) into the function: \[ f(9) = 750 - (50 \cdot 9) \] - Now, let's calculate \( f(9) \): \[ f(9) = 750 - 450 = 300 \] - Since \( f(9) \) does not equal 0, we need to find the value of \( x \) that makes \( f(x) = 0 \). 4. **Setting the Function to Zero:** - To find when there are no kits available, we set the function equal to zero: \[ 750 - (50x) = 0 \] - Solving for \( x \): \[ 50x = 750 \\ x = \frac{750}{50} = 15 \] 5. **Conclusion:** - The equation \( f(9) = 0 \) does not represent the situation correctly since \( f(9) = 300 \). - The correct interpretation of \( f(9) = 0 \) would imply that if 9 kits were sold, there would still be 300 kits available, not zero. Thus, the correct answer to what \( f(9) = 0 \) represents is: - **There are 0 cookie decorating kits available.** However, since \( f(9) \) does not equal 0, the statement is incorrect. The correct interpretation is that there are still kits available after selling 9 kits.