Question

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)

Answer 1

(16 – 18)(–4)

[16 + (–18)](–4)

Step-by-step explanation: Answers for Edge

Answer 2

`-4(16-18)`,
`[16 + (-18)](-4)`

Explanation:

Given: The low temperature on Monday was 16°F. The low temperature on Tuesday was 18°F cooler. The low temperature on Wednesday was –4 times Tuesday’s temperature.

To find: expression that can be used to describe the low temperature on Wednesday

Solution:

Temperature on Monday = 16°F

So,

Temperature on Tuesday =
`(16-18)\°F`

Temperature on Wednesday =
`-4(16-18)\°F`

So, expression
`-4(16-18)=(16-18)(-4)` can be used to describe the low temperature on Wednesday.

Also,

`(16-18)(-4)=[16 + (-18)](-4)\,\,\left \{\because (a-b)=\left [ a+(-b) \right ] \right \}`

So, expression
`[16 + (-18)](-4)` also represent temperature on Wednesday.