Leticia sets the thermostat in her apartment to 68 degrees. The actual temperature in her apartment can very from this by as much as 3.5 degrees.
16. Write an absolute-value equation that you can use to find the minimum and maximum temperature.
17. Solve the equation to find the minimum and maximum temperature.
|t-68| <= 3.5
68-3.5 <= t <= 68+3.5
64.5 <= t <= 71.5
Six years later....
um. hello?
Jimin is wrong
Thanks!
To find the minimum and maximum temperature, we can use the absolute value equation. The equation represents the difference between the actual temperature and the set temperature.
Let's denote the set temperature by "68 degrees" and the difference as "3.5 degrees." As the actual temperature can vary from the set temperature in either direction, we need to use the absolute value to ensure we consider both positive and negative differences.
The equation can be written as:
|Actual temperature - Set temperature| ≤ 3.5
To find the minimum and maximum temperature, we need to solve this equation.
To determine the minimum temperature, we subtract 3.5 degrees from the set temperature:
Actual temperature - 68 ≤ 3.5
Simplifying the inequality:
Actual temperature ≤ 68 + 3.5
Actual temperature ≤ 71.5
Therefore, the minimum temperature in Leticia's apartment is 71.5 degrees.
To find the maximum temperature, we add 3.5 degrees to the set temperature:
Actual temperature - 68 ≥ -3.5
Simplifying the inequality:
Actual temperature ≥ 68 - 3.5
Actual temperature ≥ 64.5
Thus, the maximum temperature in Leticia's apartment is 64.5 degrees.