Question

For questions 5 and 6tell whether the relationship between x and y is linear,inverse, exponential, or neither, and explain your answer. If the relationship islinear, inverse, or exponential, write an equation for the relationship.

Answer 1

To determine the kind of relationship of x and y for 5. we first determine how y changes with x.

In number 5, we can see that the increase of 1 in the x implies a change of 1.5 in y, which will imply a linear equation. It can be written in the slope-intercept form, using the fact that x = 0 -> 2.3, as follows:

$y=2.3+1.5x$

For number 6. we have the situation where each change by 1 in the value of x implies a change in the value of y that makes it go to 1/(2x). It means the equation for the number 6. is an inverse relationship which is given by the following equation:

$y=\frac{1}{2x}$