The cost of sending a package overnight is $14.40 for the first pound and $3.90 for each additional
pound or portion of a pound. A plastic mailing bag can hold up to 3 pounds. The cost f(x) of sending
a package in a plastic mailing bag is given by the following function, where x represents the weight
of the package (in pounds).
Find the limit as x->2
A. 14.40
B. 18.30
C. 22.20
D. The limit does not exist.
Thank you
I don't see "the following function"
To find the limit as x approaches 2 of the function f(x), we need to substitute 2 into the function and evaluate the result.
The function f(x) gives the cost of sending a package weighing x pounds. From the information given, we know that for the first pound, the cost is $14.40, and for each additional pound (or portion of a pound), the cost is $3.90.
Let's evaluate the function f(x) at x = 2:
f(2) = $14.40 + $3.90 * (2 - 1)
f(2) = $14.40 + $3.90 * 1
f(2) = $14.40 + $3.90
f(2) = $18.30
Therefore, the answer is option B: 18.30.
To find the limit, we substitute the value into the function and evaluate it. In this case, we substituted 2 into the function f(x) and found that the result is $18.30.