
a.
To write: an exponential function which fits this data and can be used to predict the deer population in future years.
a.

Answer to Problem 7.5.5P
Equation of the exponential function is
Explanation of Solution
Given information: The table shows the estimated number of deer in the forest over a 3-.
year period .
Years of Study | 0 | 1 | 2 | 3 |
Population | 128 | 160 | 200 | 250 |
Formula used:
The general equation of an exponential function is,
Calculation:
From the table data a =128 and the function passes through point (1,160), so:
So, equation of the exponential function will be:
b.
To calculate: the average rate of change in population during those three years.
b.

Answer to Problem 7.5.5P
The average rate of change in population during those three years is 40.67.
Explanation of Solution
Given information: The table shows the estimated number of deer in the forest over a 3-.
year period .
Years of Study | 0 | 1 | 2 | 3 |
Population | 128 | 160 | 200 | 250 |
Calculation:
From the table the rate of change in population in first year = (160-128) =32.
The rate of change in population in second year = (200-160) =40.
The rate of change in population in third year = (250-200) =50.
So, the average rate of change in population during those three years:
c.
To make: a conjecture.
c.

Answer to Problem 7.5.5P
The deer population continues increase by the average rate of change 40.67 as year increases.
Explanation of Solution
Given information: If the population growth follows the model from part a, the deer
population to continue to increase by the value with in part b.
Calculation:
Since
d.
To find: how know the function is exponential, not linear.
d.

Answer to Problem 7.5.5P
Exponential function.
Explanation of Solution
Given information: If the population growth follows the model from part a, the deer
population to continue to increase by the value with in part b
Calculation:
Given function is exponential because population change from one year to next year increases exponentially not constant.
e.
To graph: deer population increase function and their food supply function.
e.

Answer to Problem 7.5.5P
Red curve show the graph of
Blue curve shows the graph of
Explanation of Solution
Given information: Given functions are
Calculation:
The graph of the functions
Red curve show the graph of
Blue curve shows the graph of
Chapter ISG Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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