Question

Some say to brew an excellent cup of coffee, you must have a brewing temperature of $200°\mathrm{F}$, plus or minus 5 degrees. Write and solve an equation describing the maximum and minimum brewing temperatures for an excellent cup of coffee.

Short answer

The range of the temperature for an excellent cup of coffee is $195°\mathrm{F}\mathrm{to}205°\mathrm{F}$.

Step-by-step solution

Step 1. Given information.

The standard temperature is $200°\mathrm{F}$.

The rage of temperature is $5°$.

Step 2. To find the maximum and minimum brewing temperatures.

From the given information:

The standard temperature is $200°\mathrm{F}$.

The rage of temperature is $5°$.

So, the maximum limit of the temperature is:

localid="1644404548480" $200°+5°=205°\mathrm{F}$

And, the minimum limit of the temperature.

localid="1644404560712" $200°-5°=195°\mathrm{F}$

Step 3. Conclusion.

Hence, the range of the temperature for an excellent cup of coffee is $195°\mathrm{F}\mathrm{to}205°\mathrm{F}$.