Concept explainers
(a)
To Write:
A linear equation to find the cost C of a dictionary y years after 1904.
(a)
Answer to Problem 24PPS
The cost of dictionary after y years can be represented by the linear equation:
Explanation of Solution
Given Information:
In 1904, cost of a dictionary = 30 cent
Each year , cost of a dictionary rising = 6 cent
Formula Used:
The slope-intercept form of a line is:
Calculation:
First , we form the equation :
Let y is the number of years since 1904
C is the cost of dictionary after y years
The C -intercept is 30 since the cost of a dictionary in the year y =0 ,1904 is 30
The slope is 6 since it represents the rate of increase in price
So, the equation of cost of dictionary after y years can be represented by:
Write the slope-intercept form by replacing ybyC and x by y :
Hence, the cost of dictionary after y years from 1904 can be represented by the linear equation:
(b)
To Calculate:
If this trend continues, what will the cost of a dictionary be in 2020.
(b)
Answer to Problem 24PPS
If the trend continues, the cost of dictionary in the year 2020 will be 726 cent or $7.26
Explanation of Solution
Given Information:
From part (a), the cost of dictionary after y years from 1904 can be represented by the linear equation:
Calculation:
Now, number of years from 1904 to 2020
Hence,
If the trend continues, the cost of dictionary in the year 2020 will be 726 cent or $7.26
Chapter 4 Solutions
Algebra 1
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