Q25. - Algebra 1

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.

Step-by-Step Solution

Answer

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

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:

$200°+5°=205°\mathrm{F}$

And, the minimum limit of the temperature.

$200°-5°=195°\mathrm{F}$

Step 3. Conclusion.

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