Texas Instruments TI-84 Plus Manual page 82

In Example 1, part a , we are told that the business's profit
remains constant. Clear lists
ble input values for the time involved. (You might use different
years than the ones shown here.) In
invested: 10% of the constant profit.
You need to remember that a constant output means a linear
flow rate . Fit a linear function to these two data points to find
that R ( t ) = 57,000 dollars per year.
CAUTION: If you attempt to draw a scatter plot on the calculator, you will get an error mes-
sage because the calculator, using the output data in
the scatter plot using paper and pencil.) If you want to see the horizontal line graph on the
calculator, change
GRAPH .
In Example 1, part b , we are told that the business's profit grows
by $50,000 each year. The first year's profit (which determines
the initial investment at t = 0) is $579,000. Reason that if the
profit grows by $50,000 each year, the next year's profit will be
$579,000 + 50,000 = $629,000. Enter these values in
You need to remember that constant growth means a linear flow
rate . Fit a linear function to these two data points. Next,
carefully read the problem once more. Note that only 10% of the
profit is invested. Thus, the linear flow rate function is
R ( t ) = 0.10(50,000 t + 579,000) dollars per year t years after the
first year of business.
In Example 1, part c , we are told that the business's profit grows
by 17% each year. The first year's profit (which determines the
initial investment at t = 0) is $579,000. Reason that if the profit
grows by 17% each year, the next year's profit will be $579,000
+ 0.17(579,000) = $677,430. Enter these values in
You need to remember that a constant percentage growth
means an exponential flow rate . Fit an exponential function to
these two data points. Now, carefully read the problem once
more. Note that only 10% of the profit is invested. Thus, the
exponential flow rate function is R ( t ) = 0.10(579,000)(1.17
dollars per year t years after the first year of business.
Part d of Example 1 gives data that describe the growth of the business's profit. Refer to the
material on pages 29 and 30 of this Guide to review how to fit a log function to these data
points.
NOTE: If you forget which type of growth gives which function, simply use what you are
told in the problem and fill in the lists with approximately five data points. Draw a scatter plot
82
and . In
L1 L2
L2
and so that 57,900 is between the two values and press
Ymin Ymax
enter two possi-
L1
enter the amount
sets
L2, Ymin = Ymax.
and
L1 L2.
and
L1 L2.
)
t
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Chapter 6
(You need to draw