EXPLANATION
Since it takes 3 minutes to warm up, and then 6 minutes to make a coffee, we can apply the following relationship:
[tex]M(c)=6+3c[/tex]
Where c represents the number of coffees.
Plugging in 12 cups into the equation:
M(c) = 6 + 3*12 = 42
-It will take 42 minutes to make 12 cups of coffee.
In 45 minutes, we can get the amount of cups of coffee obtained by plugging the value into the equation:
[tex]45=6+3\cdot c[/tex]
Isolating the value of c:
[tex]\frac{45-6}{3}=c[/tex]
Subtracting numbers:
[tex]13=c[/tex]
-He can make 13 cups of coffee in 45 minutes.
-The domain of the function is represented by all the Real Numbers.
- The range of the function is represented by all the Real Numbers.
The table is as follows:
Coffee Minutes
0 6
1 3
2 12
3 15
