Three bank accounts are opened and then have fixed amounts of money withdrawn each month. The points graph (2, 50) (4, 20) shows Account A. The table:

Question

Month 1 - $100 left
Month 2 - $75 left
Month 3 - $50 left
Month 4 - $25 left
represents Account B, and the equation y=-22.5x+90 represents Account C, where y represents the amount of money (in dollars) left after x months.

Which account has the greatest initial value? Which has the least initial value?

A. Account A; Account B
B. Account A; Account C
C. Account C; Account A
D. Account B; Account A

Which account has the most amount of money withdrawn each month? Which has the least amount?

A. Account A; Account B
B. Account B; Account A
C. Account A; Account C
D. Account C; Account B

Which account runs out of money first? Which account runs out of money last?

A. Account C; Account A
B. Account A; Account C
C. Account B; Account C
D. Account D; Account A

Answer 1

The answer to the first question can be found by comparing the initial values of the three accounts.

Account A starts with $50 (since the point (2, 50) on the graph represents Account A).
Account B starts with $100 (according to the table).
Account C does not have an initial value given directly.

Comparing the values, we see that Account B has the greatest initial value.

To find the initial value of Account C, we can substitute x = 0 into the equation y = -22.5x + 90.
Account C thus has an initial value of $90.

Comparing the values, we see that Account C has the least initial value.

Therefore, the answer to the first question is:

A. Account A; Account B

The answer to the second question can be found by examining the amount of money withdrawn each month for each account.

Account A does not have fixed withdrawals but rather fixed amounts of money being withdrawn over time. Therefore, we cannot determine the exact amount of money withdrawn each month.

Account B has a fixed withdrawal of $25 each month (since the amount left decreases by $25 each month according to the table).

Account C has a fixed withdrawal of $22.5 each month (since the coefficient of x in the equation y = -22.5x + 90 represents the amount of money withdrawn per month).

Comparing the values, we see that Account A has the most amount of money withdrawn each month.

Comparing the values, we see that Account C has the least amount of money withdrawn each month.

Therefore, the answer to the second question is:

A. Account A; Account B

The answer to the third question can be found by comparing when each account runs out of money.

Account A runs out of money after 4 months (according to the table).

Account B does not run out of money since it always has money left each month (according to the table).

Account C runs out of money when y = 0. Substituting y = 0 into the equation y = -22.5x + 90 gives us x = 4. This means Account C runs out of money after 4 months.

Comparing the values, we see that Account A and Account C both run out of money first.

Therefore, the answer to the third question is:

B. Account A; Account C