Question

PLEASE HELP VERY QUICKLY!!!



Jeremiah invested money into two different accounts at the same time. The system of inequalities represents the balance of each account where x represents the number of years the money has been invested. Account A: y≥1.2x+100 Account B: y≥1.23x+50 What is true in the context of the situation based on the system of inequalities? Select True or False for each statement.

Statement True/False:

Jeremiah initially invested more money in Account A than in Account B. (True/False)

The rate at which the balance of Account A grows is greater than the rate at which Account B grows. (True/False)

Jeremiah initially invested $150 into the two accounts. (True/False)

Answer 1

Answer:

1st statement is true.

2nd statement is false.

3rd statement is true.

Step-by-step explanation:

We have been given two inequalities and we are asked to find out whether the given statements are true or false.

$y\geq 1.2x+100$ represents balance of account A and $y\geq1.23x+50$ represents balance of account B.

1. We can see from our inequalities that Jeremiah invested $100 in account A and $50 in account B. Therefore, 1st statement is true.

2. The rate at which balance of account A grows is 1.2 and rate for account B is 1.23. Therefore, 2nd statement is false.

3. We can find total amount Jeremiah invested in two accounts by adding initial investment of both accounts, that is $100+50=150$. Therefore, 3rd statement is true.