a. 80x > 420 will given the possible number of wall hangings to be sold for the profit to be positive.
b. The weaver must sell more than 5 wall hangings in order to make the profit positive.
Step-by-step explanation:
Amount spent on supplies = $420
Selling price of each wall hanging = $80
Let,
x be the number of wall hangings sold.
Selling price of x wall hangings = 80x
a. Write an inequality that gives the possible numbers w of wall hangings the weaver needs to sell in order for the profit to be positive.
In order for the profit to be positive, the weaver must sell wall hangings of worth more than the amount of supplies, therefore,
80x > 420
80x > 420 will given the possible number of wall hangings to be sold for the profit to be positive.
b. What are the possible numbers of wall hangings the weaver needs to sell in order for the profit to be positive?
Solving the inequality from part a;
80x > 420
Dividing both sides by 80
[tex]\frac{80x}{80}>\frac{420}{80}\\x>5.25[/tex]
Rounding off the nearest whole number;
x>5
The weaver must sell more than 5 wall hangings in order to make the profit positive.
Keywords: inequality, division
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