2.1 Is Thabo correct? Show all the calculations that you have used in determining your answer. 2.1.1 Explain to Amy how to determine the output values of the flow diagram? 2.1.2 Amy wants to create a

$$y = 5(1) + 10 = 5 + 10 = 15$$

This matches the y-value in the table for $x=1$.

$$y = 5(2) + 10 = 10 + 10 = 20$$

This does not match the y-value in the table for $x=2$, which is 10.

Since the formula does not produce the correct y-value for $x=2$ (and other values), Thabo is incorrect.

• No, Thabo is incorrect.

2.1.1 Explain to Amy how to determine the output values of the flow diagram?

To determine the output values, Amy needs to apply the operations in the flow diagram sequentially to each input value. First, she must add 2 to the input value. Then, she must multiply that result by 3 to get the final output value.

2.1.2 Amy wants to create a table, using the information from the flow diagram above. Help Amy by creating the table for her.

first add 2, then multiply by 3.
For input $x = -2$:

$$(-2 + 2) \times 3 = 0 \times 3 = 0$$

For input $x = 0$:

$$(0 + 2) \times 3 = 2 \times 3 = 6$$

For input $x = 3$:

$$(3 + 2) \times 3 = 5 \times 3 = 15$$

For input $x = 9$:

$$(9 + 2) \times 3 = 11 \times 3 = 33$$