The total price of a bag of peaches varies directly with the cost per pound. If 3 pounds of peaches cost $3.60, how much would 5.5 pounds cost? A: $1.20 B: $6.60 C: $6.00 D: $1.…

Question

asked Oct 8, 2021 159k views

1 Answer

NevilleDNZ · Answer 1 · 2021-10-14T13:32:24+0000

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,

${\textrm{beg of peaches}}\propto{\textrm{cost}}$

$\Leftrightarrow {\textrm{beg of peaches}}= {\textrm{k cost}}$ .......(1) [ k is a constant]

cost = $3.60 when beg of peaches = 3 pounds

3 = 3.60 k

$\Leftrightarrow k = (3)/(3.60)$

$\Leftrightarrow k = (1)/(1.20)$

Therefore the equation (1) becomes

${\textrm{beg of peaches}}=\frac {cost}{1.20}$

$\Leftrightarrow {\textrm{beg of peaches}}* 1.20={cost}$

When beg of peaches = 5.5 pound

cost = 5.5 * 1.20

$\Leftrightarrow cost = 6.60$

Therefore the cost of 5.5 pound of peaches is $ 6.60.