Question

A meteorologist reported yesterday's high and low temperatures were within 7 degrees of the average temperature of sixty degrees for the day. Write an absolute value inequality that models the range of temperatures for the day.

Answer 1

The absolute value inequality for temperatures within 7 degrees of the average temperature of 60 is |T - 60| ≤ 7, showing a range between 53 and 67 degrees Fahrenheit.

Step-by-step explanation:

To represent the range of temperatures within 7 degrees of the average temperature using an absolute value inequality, we base our equation on the given average temperature of 60 degrees Fahrenheit. The absolute value inequality that models this range is |T - 60| ≤ 7, where T represents the actual temperature recorded. This inequality states that the difference between the temperature T and 60 degrees must be less than or equal to 7 degrees. Therefore, the temperatures for the day are expected to be between 53 degrees Fahrenheit (60 - 7) and 67 degrees Fahrenheit (60 + 7).

Answer 2

The statement says that, "A meteorologist reported yesterday's high and low temperatures were within 7 degrees of the average temperature of sixty degrees for the day."

This means, at the average of 60 degrees for the day, the temperature can either be 7 degrees high more or 7 degrees less.

60 - 7 =53
60 + 7 = 67

temperature + 7 < 60 < temperature - 7
53 < 60 < 67