a.
The inequality that can be used to model the account activity of Monday.
a.
Answer to Problem 61SR
Explanation of Solution
Given:
On Monday, she withdraws $50 from an ATM, writes a check for her cable bill for $160, and uses her debit card to buy $42.25 worth of groceries. At the end of the day her account balance is at least $400.
Calculation:
In order to find an inequality that models the account activity on Monday, observe that she spend total of
Let the total amount in her account before her first transection on Monday was x dollars.
And at the end of the day after the transections, her account balance is at least $400. So, an inequality for the account activity for Monday can be written as
Thus, the inequality that can be used to model account activity on Monday is
b.
The least amount that she has in her account on Monday before her first transaction.
b.
Answer to Problem 61SR
Explanation of Solution
Given:
On Monday, she withdraws $50 from an ATM, writes a check for her cable bill for $160, and uses her debit card to buy $42.25 worth of groceries. At the end of the day her account balance is at least $400.
Calculation:
In order to find the least amount that she has in her account on Monday before her first transaction, observe that she spend total of
And at the end of the day after the transections, her account balance is at least $400. So, before her first transaction her account balance would be
Thus, the before her first transaction on Monday, her account balance is at least
c.
The inequality that models her balance before her first transaction.
c.
Answer to Problem 61SR
Explanation of Solution
Given:
On Monday, she withdraws $50 from an ATM, writes a check for her cable bill for $160, and uses her debit card to buy $42.25 worth of groceries. At the end of the day her account balance is at least $400.
Calculation:
In order to find the least amount that she has in her account on Monday before her first transaction, observe that she spend total of
Let the total amount in her account before her first transection on Monday was x dollars.
And at the end of the day after the transections, her account balance is at least $400. So, before her first transaction her account balance would be
Thus, the inequality that models her account balance before her first transaction is
d.
The set-builder notation of the answer to part c.
d.
Answer to Problem 61SR
Explanation of Solution
Given:
On Monday, she withdraws $50 from an ATM, writes a check for her cable bill for $160, and uses her debit card to buy $42.25 worth of groceries. At the end of the day her account balance is at least $400.
Calculation:
The inequality that models her balance before her first transaction on Monday is
Thus, the set builder notation for the answer of part c is
e.
The graph of the answer to part c on a number line.
e.
Explanation of Solution
Given:
On Monday, she withdraws $50 from an ATM, writes a check for her cable bill for $160, and uses her debit card to buy $42.25 worth of groceries. At the end of the day her account balance is at least $400.
Calculation:
The inequality that models her balance before her first transaction on Monday is
So, the graph of the inequality on the number line is shown below
Chapter 5 Solutions
Algebra 1
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