Question

this question has two parts. first, answer part a. then, answer part b. part a engineering tolerance is an allowance made for imperfections in a manufactured object. the manufacturer of an oven specifies a temperature tolerance of ±15°f. this means that the temperature inside the oven will be within 15°f of the temperature to which it is set. write an absolute - value equation to find the maximum and minimum temperatures inside the oven when the thermostat is set to 400°f. let t represent the temperature inside the oven.

Explanation:

Step1: Recall absolute - value formula

The general form for an absolute - value equation for tolerance is $|t - a|=b$, where $a$ is the set value, $b$ is the tolerance, and $t$ is the actual value. Here, $a = 400$ and $b = 15$. So the equation is $|t - 400|=15$.

Step2: Solve the absolute - value equation

If $|t - 400|=15$, then $t-400 = 15$ or $t - 400=-15$.
For $t-400 = 15$, $t=400 + 15=415$.
For $t - 400=-15$, $t=400-15 = 385$.

Answer:

The minimum temperature is $385^{\circ}F$ and the maximum temperature is $415^{\circ}F$, and the absolute - value equation is $|t - 400|=15$.