A delivery​ company's charge for an overnight package weighing in excess of one pound is given by the formula c equals 2.03 w plus 14.24 comma where w is the weight of package in pounds. Find the following. A 14​-pound package costs​ $

  
enter your response here to send overnight.

1 answer

To find the cost \( c \) for a 14-pound package using the formula given:

\[ c = 2.03w + 14.24 \]

where \( w \) is the weight of the package in pounds. Here, we substitute \( w = 14 \):

\[ c = 2.03(14) + 14.24 \]

First, calculate \( 2.03 \times 14 \):

\[ 2.03 \times 14 = 28.42 \]

Now, add that result to 14.24:

\[ c = 28.42 + 14.24 = 42.66 \]

Therefore, the cost to send a 14-pound package overnight is

\[ \boxed{42.66} \]