Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Answer 1

The number of comic books is an illustration of a linear function

• The complete equations are: $\mathbf{8b + 17 =65}$ and $\mathbf{b =6}$
• The value of b has increased by 4

She had 17 comic books already.

So, we have:

$\mathbf{Base\ Amount = 17}$

Her order of 65 books contains 8 comic books per collection.

So, we have:

$\mathbf{Rate = 8}$

$\mathbf{Total = 65}$

This is represented as:

$\mathbf{Rate \times b + Base\ Amount =Total}$

So, we have:

$\mathbf{8\times b + 17 =65}$

Rewrite as:

$\mathbf{8b + 17 =65}$

Subtract 17 from both sides

$\mathbf{8b =48}$

Divide both sides by 8

$\mathbf{b =6}$

Assume she has 97 books in her collection, then the equation would be represented as:

$\mathbf{8b + 17 = 97}$

Subtract 17 from both sides

$\mathbf{8b = 80}$

Divide both sides by 8

$\mathbf{b = 10}$

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:

https://brainly.com/question/11897796