Answer:
Cost function is C(x)=4.50x and it is continuous.
Step-by-step explanation:
It is given that Kenny buys mixed nuts at a corner market for $4.50 per pound.
Cost = $4.50 per pound
Let x be the number of pounds of nuts Kenny buys.
The cost function is

It is a linear function and gram of a linear function is a straight line.
The value of x is always positive because the the number of pounds cannot be negative.
The table of values is
x C(x)
0 0
1 4.5
2 9
3 13.5
Plot these point on a coordinate plane and draw a straight line.
A linear function is always continuous.
Since the cost function is a linear function, therefore it is continuous.