Kenny buys mixed nuts at a corner market for $4.50 per pound. the cost is a function of the number of pounds of nuts bought. what is the graph of the function? is the function continuous or discrete?

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.