Answer :

The linear equation that represent the situation is 3b - 6 = 45.

The value of b is 17.

How to represent a linear equation?

The situation forms a linear equation. Therefore,

y = mx + b

where

  • m = slope
  • b = y-intercept

Therefore, let's model the equation linearly,

where

  • b = number of books bought

She bought the book for $3 each and receive a discount of $6. The total money spent after the discount is $45.

Therefore, the equation is as follows

3b - 6 = 45

The value of b is as follows;

3b - 6 = 45

3b = 45 + 6

3b = 51

b = 51 / 3

b = 17

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