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Lena earns 54 dollars each week working part-time at a bookstore. She earns one additional dollar for each book that she sells. Let A be the amount (in dollars) that Lena earns in a week if she sells B books. Write an equation relating A to B . Then use this equation to find the amount of money Lena earns if she sells 14 books.

Verified Answer :

sdmatera

Your equation would be A=B+54 because A is the total amount earned, which includes the 54 she automatically earns and the amount per book, B

You can then plug in 14 for B to solve for A
A=54+14
A=68 dollars

She earns $54 weekly with one dollar extra per book sold. We can use this fact to relate A and B

The relation between A and B is given by equation: @@MATH_TOKEN_0@@

If Lena sells 14 books, then she would get $68.

Given that:

  • Lena earns $54 weekly.
  • Lena gets additional $1 per book sold by her.
  • A denotes her total earning in a week.
  • B denotes amount of books sold by her.

To find:

  • Relation between A and B
  • Amount she'd earn if she sell 14 books.

Total amount = weekly income + additional commission per book sold

For 1 book sold by her, she gets $1, thus, if she sells B books, then she'd get $B commission in addition with $54 weekly.

Thus:

@@MATH_TOKEN_1@@

Now, if she sells B = 14 books, then we have:

@@MATH_TOKEN_2@@

Thus, the relation between A and B is given by equation: @@MATH_TOKEN_3@@

If Lena sells 14 books, then she would get $68.

Learn more about linear relations here:

https://brainly.com/question/24303834

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