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Answer:
Let x represents the total weight of the parcel and f(x) represents the cost of the parcel,
Then, according to the question,
Any letter one ounce or less will need $0.46 in postage.
That is, For 0 < x ≤ 1, f(x) = 0.46
For each additional ounce over that, or any part of an ounce, the sender must add $0.20 more postage,
Also, the maximum weight = 16 ounces,
0.46 + 0.20 (x-1)= 16
⇒ 0.20 (x-1) = 15.54
⇒ x-1 = 77.7⇒ x = 78.7
Hence, the function that shows the cost of the letter having weight greater than 1 ounces is,
And, for 1 < x ≤ 78.7 f(x) = 0.46 + 0.20(x-1),
Thus, the complete function that shows the given situation is,
Thus, we get two line, y = 0.46 and y = 0.46 + 0.20(x-1),
Which are plotted in the below graph.
