Question

What’s the answer for my child to pass her test

Answer 1

`\[ (3)/(4)n \]`

Explanation:

Let's find the linear function that represents Sebastian's calculator. We can use the given points (8, 6) and (12, 9).

The slope (m) can be calculated as the change in y divided by the change in x:

`\[ m = (9 - 6)/(12 - 8) = (3)/(4) \]`

Now that we have the slope, we can use the point-slope form of a linear equation:

`\[ y - y_1 = m(x - x_1) \]`

Using the point (8, 6):

`\[ y - 6 = (3)/(4)(x - 8) \]`

Simplifying:

`\[ y - 6 = (3)/(4)x - 6 \]`

Now, isolate y:

`\[ y = (3)/(4)x \]`

So, the expression that explains what the calculator will display when any number (n) is entered is:

`\[ (3)/(4)n \]`