Concept explainers
(a)
To Calculate and Graph:
The equation for the number of cell phone customers in billions, C , t years since 2007.
Graph this equation
(a)
Answer to Problem 61PPS
Linear equation for the number of cell phone customers in billions, C , t years since 2007.
Explanation of Solution
Given Information:
In 2007, 3.25 billion customers worldwide used a cell phone, and 1000 new customers signed up each minute.
New customers signed up in 1 minute = 1000
New customers signed up in 1 hour (60 minutes) =
New customers signed up in 1 day (24 hours) =
New customers signed up in 1 year (365 days) =
Let
C = Number of cell phone customers in billion
t = Years since 2007
m = Number of customers signed up each year in billion = 0.525
Formula Used:
Equation of slope-intercept form of a line is given by:
Where
Calculation:
First , we form the equation :
Let
C = Number of cell phone customers in billion
t = Years since 2007
m = Number of customers signed up each year in billion = 0.525
Now, we form the equation :
Number of customers signed up each year in billion = 0.525
So, Number of customers signed up in t years since 2007 = 0. 525t
So, the linear equation ( slope-intercept form) for the number of cell phone customers in billions, C , t years since 2007:
Linear equation for the number of cell phone customers in billions, C , t years since 2007.
Graph:
To plot the graph for the equation
For the graph , we have point (0,3.25). First plot the point (0,3.25). From the point , rise 1 unit and then run to the right 2 units , since the slope is
(b)
To Calculate :
Number of cell phone customers in 2011.
(b)
Answer to Problem 61PPS
Number of cell phone customers in 2011 = 5.35 billion
Explanation of Solution
Given Information:
From part (a)
Linear equation for the number of cell phone customers in billions, C , t years since 2007.
Calculation:
Number of years from 2007 to 2011 = 2011-2007 = 4 years
Substituting t = 4 in equation (2)
Hence, the number of cell phone customers in 2011 = 5.35 billion
(c)
To Calculate : In which year , the number of customers will be 10 billion.
(c)
Answer to Problem 61PPS
10 billion customers will be in 2020.
Explanation of Solution
Given Information:
From part (a) Linear equation for the number of cell phone customers in billions, C , t years since 2007.
Calculate:
To the year in which 10 billion customers will be there:
Hence, number of years since 2007 when there will be 10 billion customers = 13.
So, year = 2007+13 =2020.
Chapter 4 Solutions
Algebra 1
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