ally and Mike are both selling books. Each of them will earn $2 per book sold plus an additional $4 if they sell more than 10 books.
Sally sold 11 books and Mike sold 22 books.
The money they will earn, if they sell more than 10 books, is represented by the equation , where b represents the number of books sold, and m represents the money they will earn.
Mike incorrectly determined that he earned twice as much as Sally. Each step of his work is shown in the table below.
Steps Mike's Work
1 For Sally b = 11
2 For Sally m = 2(11) + 4
3 For Mike b = 22
4 For Mike m = 2(22 + 4)
In which step did Mike make an error?
A.
Step 1
B.
Step 2
C.
Step 3
D.
Step 4
To determine where Mike made an error, we need to evaluate each step of his work.
Step 1: For Sally, b = 11. This is correct because Sally sold 11 books.
Step 2: For Sally, m = 2(11) + 4. This is also correct because she sold more than 10 books, so she earns an additional $4 per book sold. The equation correctly represents her earnings.
Step 3: For Mike, b = 22. This is correct because Mike sold 22 books.
Step 4: For Mike, m = 2(22 + 4). This is incorrect. Mike should not add the additional $4 to the number of books sold in the equation. The equation should only include the number of books sold (b) and the additional $4 if more than 10 books are sold.
Therefore, the error is in Step 4.
Answer: D. Step 4
can you show me step-by-step
or simplify it for me please or prove your equation
Certainly! Let's break it down step by step.
The equation to represent the money they will earn, if they sell more than 10 books, is given by:
m = 2b + 4
Here, m represents the money they will earn and b represents the number of books sold.
For Sally:
Step 1: b = 11 (She sold 11 books)
Step 2: m = 2(11) + 4 = 22 + 4 = 26
So Sally will earn $26.
For Mike:
Step 3: b = 22 (He sold 22 books)
Step 4: m = 2(22) + 4 = 44 + 4 = 48
So Mike will earn $48.
To verify the equation, let's plug in the number of books sold for Sally (11) and Mike (22) into the equation:
For Sally: m = 2(11) + 4 = 26
For Mike: m = 2(22) + 4 = 48
As you can see, the equation correctly gives Sally's earnings as $26 and Mike's earnings as $48. Therefore, the equation m = 2b + 4 is correct.
Again, Mike's error is in Step 4 where he adds 4 to the number of books sold. The equation should only include the number of books sold (b) and the additional $4 if more than 10 books are sold, as represented by the equation m = 2b + 4.