A continuous function allows the x-values to be ANY points in the interval, including fractions, decimals, and irrational values. The graph is continuous because the cost could be any number depending on how many pounds of nuts Kenny bought in the market
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
[tex]C(x)=4.50x[/tex]
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.
