Chapter 3.1, Problem 24E

(a)

To determine

To calculate: To describe the situation in words for the function

Answer to Problem 24E

Situation in words is written is balance in savings account is increasing with rate of $25$ and initial balance in account is $\$100$

Explanation of Solution

Given: The balance $y$ (in dollars) of your savings account is a function of the month $x$

Month, x	0	1	2	3	4
Balance (dollars),y	100	125	150	175	200

[Calculation:

Given the balance $y$ (in dollars) of your savings account is a function of the month $x$

Month, x	0	1	2	3	4
Balance (dollars),y	100	125	150	175	200

Function is

  $y=25x+100$

Where, $y=$ balance in savings account

  $x=$ number of months

In words, balance in savings account is increasing with rate of $25$ and initial balance in account is $\$100$

Conclusion:

Hence, situation in words is written

(b)

To determine

To calculate: To write the function as a set of ordered pairs

Answer to Problem 24E

Function as a set of ordered pairs is $\left\{\left(0,100\right),\left(1,125\right),\left(2,150\right),\left(3,175\right),\left(4,200\right)\right\}$

Explanation of Solution

Given: The balance $y$ (in dollars) of your savings account is a function of the month $x$

Month, x	0	1	2	3	4
Balance (dollars),y	100	125	150	175	200

[Calculation:

Given that thebalance $y$ (in dollars) of your savings account is a function of the month $x$

Month, x	0	1	2	3	4
Balance (dollars),y	100	125	150	175	200

Function as set of ordered pairs is as follows:

  $\left\{\left(0,100\right),\left(1,125\right),\left(2,150\right),\left(3,175\right),\left(4,200\right)\right\}$

Conclusion:

Hence, Function is $\left\{\left(0,100\right),\left(1,125\right),\left(2,150\right),\left(3,175\right),\left(4,200\right)\right\}$

(c)

To determine

To calculate: To plot the points in coordinate plane

Explanation of Solution

Given: The balance $y$ (in dollars) of your savings account is a function of the month $x$

Month, x	0	1	2	3	4
Balance (dollars),y	100	125	150	175	200

[Calculation:

Given that thebalance $y$ (in dollars) of your savings account is a function of the month $x$

Month, x	0	1	2	3	4
Balance (dollars),y	100	125	150	175	200

Function as set of ordered pairs is as follows:

  $\left\{\left(0,100\right),\left(1,125\right),\left(2,150\right),\left(3,175\right),\left(4,200\right)\right\}$

Plotting points on coordinate plane:

  

Conclusion:

Hence, points are plotted