Question

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. The rate at which the balance of Account A grows is greater than the rate at which Account B grows. Jeremiah initially invested $150 into the two accounts.

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 $y\geq 1.23x+50$ represents balance of account B.

1. We can see from our inequalities that Jeremiah initially 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.