Question

The equation V=16.6+3.3xgives the value (in thousands of dollars) of an investment after X months.

Answer 1

We know the equation:

$V=16.6+3.3x$

gives the value of the investment after x dollars. This equation has the form:

$y=b+mx$

where m is the slope. Comparing the equation for the value and the linear equation above we conclude that m=3.3,

Since the value of the slope is positive this means that the value is increasing; also we know that the slope is 3.3 but that it is express as thousands of dollars, hence it is increasing at a rate the 3300 dollars. Therefore we have:

The value of the investment is increasing at a rate of 3300 dollars per month.