Respuesta :
Therefore the cost of 5.5 pound of peaches is $ 6.60.
Step-by-step explanation:
Given , the total price of a bag of peaches varies directly with the cost per pound. If 3 pound of peaches cost $3.60.
Therefore,
[tex]{\textrm{beg of peaches}}\propto{\textrm{cost}}[/tex]
[tex]\Leftrightarrow {\textrm{beg of peaches}}= {\textrm{k cost}}[/tex].......(1) [ k is a constant]
cost = $3.60 when beg of peaches = 3 pounds
[tex]3 = 3.60 k[/tex]
[tex]\Leftrightarrow k = \frac{3}{3.60}[/tex]
[tex]\Leftrightarrow k = \frac{1}{1.20}[/tex]
Therefore the equation (1) becomes
[tex]{\textrm{beg of peaches}}=\frac {cost}{1.20}[/tex]
[tex]\Leftrightarrow {\textrm{beg of peaches}}\times 1.20={cost}[/tex]
When beg of peaches = 5.5 pound
[tex]cost = 5.5 \times 1.20[/tex]
[tex]\Leftrightarrow cost = 6.60[/tex]
Therefore the cost of 5.5 pound of peaches is $ 6.60.
