Question

What kind of Association is there between the remaining distance Y and the time XPaul uses the equation Y equals -25X +170 to model the situation. After four hours, how much distance remains?

Answer 1

• (a)Negative Association.

,

• (b)70 km

Explanation:

Part A

As the remaining distance increases, the time remaining decreases.

When the values of one variable tend to decrease as the values of the other variable increase, the two variables are said to have a negative association.

Thus, the association between the remaining distance Y and the time X is a Negative Association.

Part B

The equation Paul uses to model the situation is:

`y=-25x+170`

When the number of hours, x=4:

`\begin{gathered} y=-25(4)+170 \\ y=-100+170 \\ y=70\; km \end{gathered}`

After 4 hours, the distance remaining is 70 km.