It will cost
(i) $1.72 if weight is 1.5 ounces,to send a letter.
(ii)$1.72 if weight is 2 ounces, to send a letter.
first, let us find a relation between postage(dollars) and weight(ounces)
this is an equation of a straight line passing through (0,1.5) and (2,0).
y=mx+c
[tex]P(w)=\frac{1.5-0}{0-2} x + c\\\\P(w)=-0.75x+c\\\\[/tex]
since it passes through (2,0) it will satisfy the equation
therefore, c =1.5
the equation will be: [tex]P(w)=-0.75w+1.5[/tex]
after we merge both the relations, we find a single relation between cost and weight
since the cost value is 1.72 in 1 <w [tex]\leq[/tex]2
if weight is 1.5 ounces it is clearly $1.72
if weight is 2 ounces it is clearly $1.72
therefore, it will cost
(i) $1.72 if weight is 1.5 ounces,to send a letter.
(ii)$1.72 if weight is 2 ounces, to send a letter.
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