Questions: The low temperature on Monday was 16°F. On Tuesday, the low was 18°F cooler. On Wednesday, the low temperature was -4 times Tuesday's low. Which of the following expressions can be used to describe the low temperature on Wednesday? Select all that apply. 16+(-18)(-4) 16(4)+(-8) (16-18)(-4) [16+(-18)](-4)

Solution Steps

To find the low temperature on Wednesday, we need to first determine Tuesday's low temperature by subtracting 18 from Monday's low of 16°F. Then, we multiply Tuesday's low by -4 to find Wednesday's low temperature. We will evaluate each expression to see which ones correctly represent this calculation.

The low temperature on Monday is given as \( 16^{\circ} \mathrm{F} \). On Tuesday, the low was \( 18^{\circ} \mathrm{F} \) cooler. Therefore, we calculate Tuesday's low temperature as follows: \[ \text{Tuesday's low} = 16 - 18 = -2^{\circ} \mathrm{F} \]

On Wednesday, the low temperature is \( -4 \) times Tuesday's low. Thus, we calculate Wednesday's low temperature: \[ \text{Wednesday's low} = -4 \times (-2) = 8^{\circ} \mathrm{F} \]

We need to evaluate the following expressions to see which ones equal \( 8 \):

1. \( 16 + (-18)(-4) = 16 + 72 = 88 \)
2. \( 16(4) + (-8) = 64 - 8 = 56 \)
3. \( (16 - 18)(-4) = (-2)(-4) = 8 \)
4. \( 16 + (-18) = (-2)(-4) = 8 \)

From the evaluations, we find that the expressions that equal \( 8 \) are:

• \( (16 - 18)(-4) \)
• \( 16 + (-18) \)

Final Answer