For the input 4 in the number machine (a ➡️ ? ➡️ X 3 ➡️ output 3a + 15), the output is 27. This is obtained by multiplying the input by 3 and adding 15.
To find the output for the given input of 4 in the number machine (a ➡️ ? ➡️ X 3 ➡️ output 3a + 15), we follow these steps:
1. **Substitute the input value (a = 4) into the expression:**
![\[3a + 15 = 3(4) + 15\]](https://img.qammunity.org/2024/formulas/mathematics/high-school/9nby9dszsyyjl6yf5shn3qesg3hlmmk2fw.png)
2. **Perform multiplication:**
![\[3(4) = 12\]](https://img.qammunity.org/2024/formulas/mathematics/high-school/lxjvj9gvwmixndodhi52r72yogl2k4pz9x.png)
3. Add the result to 15:
![\[12 + 15 = 27\]](https://img.qammunity.org/2024/formulas/mathematics/high-school/y2h1uvzdedhkrzyv5aqy51el3yzcuyloqj.png)
Therefore, when the input is 4, the output of the number machine is 27. This is obtained by multiplying the input by 3 (3a) and adding 15 to the result. In mathematical terms, \(3 \times 4 + 15 = 27\). Hence, the number machine processes the input 4 through the specified operations, resulting in an output of 27.
The probable question maybe:
"If the input to the number machine is 4 (a ➡️ 4 ➡️ X 3), what would be the output according to the given rule (3a + 15)?"