Concept explainers
(a)
To explain: the situation be modeled by a linear equation.
(a)
Answer to Problem 34E
There is a common difference between the values of x likewise values of y, the table above can be modeled by a linear equation.
Explanation of Solution
Given:
Consider the following table
Days | 2 | 4 | 6 | 8 |
Total Cost (in Dollars) | 246 | 450 | 654 | 858 |
Calculation:
For the table above to be modeled by a linear equation, there must be a common difference between every successive element in the values of x (days), likewise values of y (total cost)
Find the common difference between the values of x
Pick any two successive elements in the values of x and find the difference
Implies,
Therefore, the common difference is, 2.
Find the common difference between the values of y
Pick any two successive elements in the values of y and find the difference
Implies,
So, the common difference is, 204.
Since there is a common difference between the values of x likewise values of y, the table above can be modeled by a linear equation.
Conclusion:
Since there is a common difference between the values of x likewise values of y, the table above can be modeled by a linear equation.
(b)
To find: the processing fee and the daily fee.
(b)
Answer to Problem 34E
The equation is,
Explanation of Solution
Calculation:
Use the linear equation
Find the value of m
Implies that,
To find the value of c , pick any paired elements
Put
Implies,
Conclusion:
Therefore, the equation is,
(c)
To find: the maximum number of days you can rent the beach house.
(c)
Answer to Problem 34E
The maximum number of days that the beach house can be rented with $1200 is, 11 days.
Explanation of Solution
Calculation:
Find the maximum number of days $1200can purchase.
This implies that, find x when
Hence,
Conclusion:
Therefore, the maximum number of days that the beach house can be rented with $1200 is, 11 days.
Chapter 4 Solutions
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