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Homespun Jellies charges $8.50 for each jar of preserves. Shipping and handling charges are $3.75 for each order
plus $0.65 per jar.
1. Find a function C that models the cost of buying and shipping x jars of preserves. Write the function using
appropriate function notation. Simplify the expression on the right side of your function if possible.

Answer :

    Function defining the cost of buying and shipping will be represented by,

C(x) = ax + b

Here, a = price of one jar, b = shipping charges and x is the price of jar preserve

     Function representing the cost C for buying and shipping 'x' jars of preserves will be,

C = $(9.15x + 3.75)

  It's given in the question,

  • Homespun Jellies charges $8.50 for each jar of preserves.

Let the number of jars purchased = x

Therefore, charges for 'x' jars = $8.50x

  • Shipping and handling charges for each order = $3.75 plus $0.65 per jar

So the shipping and handling charges for shipping 'x' jars = $(3.75 + 0.65x)

Therefore, total charges for shipping and preserving 'x' jars = $(3.75 + 0.65x) + $8.50x

        Therefore, function representing the cost C for buying and shipping 'x' jars of preserves will be,

C = $(3.75 + 0.65x) + $8.50x

C = $(9.15x + 3.75)

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