Questions: Laura correctly determines four arithmetic means between -17 and 32. What values does Laura determine? Laura determines the four arithmetic means to be -7.2, 2.6, 12.4, and 22.2. Laura determines the four arithmetic means to be -7.2, 2.8, 12.6, and 22.2. Laura determines the four arithmetic means to be -7.2, 2.6, 12.6, and 22.4. Laura determines the four arithmetic means to be -7.2, 2.8, 12.4, and 22.4.

Solution Steps

To find the four arithmetic means between \( -17 \) and \( 32 \), we first calculate the common difference \( d \) using the formula: \[ d = \frac{32 - (-17)}{4 + 1} = \frac{49}{5} = 9.8 \]

Next, we generate the arithmetic means using the common difference. The means can be calculated as follows:

• First mean: \( -17 + 1 \cdot 9.8 = -7.2 \)
• Second mean: \( -17 + 2 \cdot 9.8 = 2.6 \)
• Third mean: \( -17 + 3 \cdot 9.8 = 12.4 \)
• Fourth mean: \( -17 + 4 \cdot 9.8 = 22.2 \)

Thus, the four arithmetic means are \( -7.2, 2.6, 12.4, \) and \( 22.2 \).

Final Answer