Answer :
To answer the question about input and output values, we first need to understand the expressions given. Each expression is of the form [tex]ax + b = c[/tex], where [tex]x[/tex] is a constant number, [tex]a[/tex] and [tex]b[/tex] are coefficients, and [tex]c[/tex] is the result. In these expressions, the term multiplying [tex]x[/tex] is 9.
Given the equations:
a. [tex]3 \times 9 + 8 = 36[/tex]
b. [tex]9 \times 9 + 8 = 89[/tex]
c. [tex]4 \times 9 + 8 = 44[/tex]
d. [tex]6 \times 9 + 8 = 62[/tex]
e. [tex]7 \times 9 + 8 = 71[/tex]
f. [tex]1 \times 9 + 8 = 17[/tex]
For each equation:
Input Values: Input values are the numbers being multiplied by 9. These are [tex][3, 9, 4, 6, 7, 1][/tex] for expressions a to f, respectively.
Output Values: Output values are the results on the right-hand side of each equation. These are [tex][36, 89, 44, 62, 71, 17][/tex] for expressions a to f, respectively.
Each equation calculates its right-hand side by performing the operation on the left-hand side, which helps us identify the input-output relationship. Here's how it works step-by-step:
- Step 1: Multiply the input by 9.
- Step 2: Add 8 to the result from Step 1.
- Step 3: The final result is the output value.
For example, in expression (a), the input value is 3. It is multiplied by 9 to get 27. Adding 8 gives us 36, which is the output value.
