Answer:
The function is continuous.
The scenario is represented by a linear function, since the rate of change is constant.
For every additional hour, 53 cups of juice are poured.
Step-by-step explanation:
1) Check the Table below:
2) For the sake of clarity the slope and the function is:
[tex]m=\frac{181-128}{5-4}\Rightarrow m=53\\128=53(4)+b\Rightarrow b=128-212\Rightarrow b=-84\\y=53x-84[/tex]
3) This is a linear function.
Therefore:
The function is continuous.
There are no jumps, holes, or asymptotes. Since linear functions f(x)=ax+b, a≠0 then this is also a polynomial. And every polynomial function is continuous.
[tex]\lim_{x\rightarrow c}f(x)[/tex]
The scenario is represented by a linear function, since the rate of change is constant.
The rate of change is 53 calculated above is result of a rate of "rise" over "run".
For every additional hour, 53 cups of juice are poured.
This we can observe on the second column, by subtracting the subsequent value minus the prior one.
