The number of comic books is an illustration of a linear function
- The complete equations are: [tex]\mathbf{8b + 17 =65}[/tex] and [tex]\mathbf{b =6}[/tex]
- The value of b has increased by 4
She had 17 comic books already.
So, we have:
[tex]\mathbf{Base\ Amount = 17}[/tex]
Her order of 65 books contains 8 comic books per collection.
So, we have:
[tex]\mathbf{Rate = 8}[/tex]
[tex]\mathbf{Total = 65}[/tex]
This is represented as:
[tex]\mathbf{Rate \times b + Base\ Amount =Total}[/tex]
So, we have:
[tex]\mathbf{8\times b + 17 =65}[/tex]
Rewrite as:
[tex]\mathbf{8b + 17 =65}[/tex]
Subtract 17 from both sides
[tex]\mathbf{8b =48}[/tex]
Divide both sides by 8
[tex]\mathbf{b =6}[/tex]
Assume she has 97 books in her collection, then the equation would be represented as:
[tex]\mathbf{8b + 17 = 97}[/tex]
Subtract 17 from both sides
[tex]\mathbf{8b = 80}[/tex]
Divide both sides by 8
[tex]\mathbf{b = 10}[/tex]
The values of b are 6 and 10.
The difference between 6 and 10 is 4
Hence, the value of b has increased by 4
Read more about linear equations at:
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