Question

The account balance of each of three children at the end of a month is shown below:

John has −$2.75
Cheryl has −$3.00

Andrew has as much savings in his account as the amount John owes the bank.

Part A: On a blank paper, draw a number line from −4 to +4. Plot points on the number line to show the account balances of the three children. Label the points using the name of each child. Describe in detail how you created and labeled this number line, and what it looks like in detail. (5 points)

Part B: Determine whether John or Cheryl owes the bank more. Use absolute values and inequalities to write statements that justify your conclusion. (5 points)

Answer 1

Part A (describing the number line):
-Draw a horizontal line
-Put a zero in the middle of the line
-Put -1 to -4 on the left of 0
-Put 1 to 4 on the right of 0
-Draw a dot at -2.75 and label John
-Draw a dot at -3 and label Cheryl

Part B: Cheryl owes the bank more than John. |-2.75| |-3.00| The absolute values are never negative so: 2.75 & 3.00. 3.00 is greater than 2.75.

Answer 2

A) See attached.

B) Cheryl owes the bank more.

Explanation:

Given account balances:

• John: -$2.75
• Cheryl: -$3.00
• Andrew: $2.75

(Andrew has as much savings in his account as the amount John owes).

Part A

• Draw a straight, horizontal line with arrows on both ends.
• Place a tick in the center of the line and label it zero.
• Draw 4 evenly spaced ticks either side of the zero.
• Number the ticks to the right of the zero 1, 2, 3 and 4.
• Number the ticks to the left of the zero -1, -2, -3, and -4.
• Mark -2.75, -3 and 2.75 on the number line.
• Label the marks with John, Cheryl and Andrew.

(See attached number line).

Part B

The absolute value of a number is its positive numerical value.

To calculate how much John and Cheryl owe the bank, take the absolute values of their account balances:

• John: |-2.75| = 2.75

• Cheryl: |-3.00| = 3.00

As 3.00 > 2.75, Cheryl owes the bank more.