11. the news reports that todays high temperature is 16°f colder than yesterdays high temperature…

11. the news reports that todays high temperature is 16°f colder than yesterdays high temperature. yesterdays high temperature was -2°f. a. write an expression to represent todays high temperature. b. reasoning is todays high temperature positive or negative? why?

11. the news reports that todays high temperature is 16°f colder than yesterdays high temperature. yesterdays high temperature was -2°f. a. write an expression to represent todays high temperature. b. reasoning is todays high temperature positive or negative? why?

Answer

Explanation:

Step1: Identify yesterday's temperature

Yesterday's high - temperature was $- 2^{\circ}F$.

Step2: Calculate today's temperature

Today's high - temperature is $16^{\circ}F$ colder than yesterday's. So we subtract 16 from yesterday's temperature: $-2-16=-18^{\circ}F$.

Step3: Determine sign of today's temperature

Since $-18^{\circ}F<0$, today's high - temperature is negative.

Answer:

Today's high - temperature is negative because when we subtract 16 from yesterday's high - temperature of $-2^{\circ}F$ ($-2 - 16=-18^{\circ}F$), the result is a negative number.