Question

A jeweler is selling bracelets at an art convention. it costs $135 to obtain a booth at the convention. the cost to make a single bracelet is $4.50. the jeweler sells the bracelets for $12 each.
The inequality 12b > 135 + 4.50b represents the situation in which the jeweler makes a profit.

Answer 1

Answer:

(a) Loss from selling 15 necklaces

(b) $b > 18$

Step-by-step explanation:

The question has missing details. (See the comment section for missing details)

Given

$12b > 135 + 4.50b$

Solving (a): Will she make a profit from 15 necklaces

To do this, we substitute 15 for b in $12b > 135 + 4.50b$

$12 * 15 > 135 + 4.50 * 15$

$180 > 202.5$

The inequality is not true.

Hence, she'll make a loss from selling 15 necklaces

Solving (b): An expression that represents profit.

To do this, we solve for b in $12b > 135 + 4.50b$

Collect Like Terms

$12b - 4.50b > 135$

$7.5b > 135$

Make b the subject

$b > \frac{135}{7.5}$

$b > 18$

This implies that to make a profit, she must sell more than 18 necklaces.