czambrano1008
Answered

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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.

Sagot :

MrRoyal

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.

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