Answer:
To create a table of values for y = 3/8x - 5, we need to first determine the domain of the function. The domain of a function is the set of all possible input values that the function can accept. In this case, the domain of y = 3/8x - 5 is all real numbers x.
Next, we need to determine the range of the function, which is the set of all possible output values that the function can produce. The range of y = 3/8x - 5 is also all real numbers y.
Now, let's create a table of values for y = 3/8x - 5:
| x | y |
| --- | --- |
| 2 | 11/4 |
| 4 | 7/2 |
| 6 | 3/2 |
| 8 | 1/4 |
| 10 | -1/8 |
In this table, we have listed six values of x and their corresponding values of y. We can see that as x increases, y decreases. This is because the function y = 3/8x - 5 has a negative slope, meaning that for every one unit increase in x, y decreases by three units.
We can also observe that the value of y is zero when x is equal to four. This is because 3/8(4) = 0 - 5 = 0.
Explanation: