Answer:
(a) Loss from selling 15 necklaces
(b) [tex]b > 18[/tex]
Step-by-step explanation:
The question has missing details. (See the comment section for missing details)
Given
[tex]12b > 135 + 4.50b[/tex]
Solving (a): Will she make a profit from 15 necklaces
To do this, we substitute 15 for b in [tex]12b > 135 + 4.50b[/tex]
[tex]12 * 15 > 135 + 4.50 * 15[/tex]
[tex]180 > 202.5[/tex]
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 [tex]12b > 135 + 4.50b[/tex]
Collect Like Terms
[tex]12b - 4.50b > 135[/tex]
[tex]7.5b > 135[/tex]
Make b the subject
[tex]b > \frac{135}{7.5}[/tex]
[tex]b > 18[/tex]
This implies that to make a profit, she must sell more than 18 necklaces.
