Question

The sales of laptop computers t years after a particular model is introduced is given by the function y = 6250 ln (400t − 35), where y is the number of laptop computers sold.

Answer 1

Answer:

See explanation below.

Step-by-step explanation:

Assuming the following function:

$y =6250 ln(400t-35)$

Where y represent the sales and t the years after a particular model is introduced.

For this case if we find the domain for this function we have this:

$400t -35>0$ Since the neatural log for negative numbers or 0 is not defined.

So then $t >\frac{35}{300} =\frac{7}{80}$

And the range on this case is all the possible reals.

The sales are equal to 0 when:

$ln(400t-35) = 0$

If we exponential both sides we got:

$400t -35 = 1$

$t = \frac{36}{400}=\frac{9}{100}$

So then the x intercept is $(\frac{9}{100}, 0)$. We don't have y intercept since the function not touch the y axis.

And we don't have a relative maximum or minimum since the function is increasing over the interval of all the reals.

The plot of the function is on the figure attached.