3. Sarah's parents give her a $100.00 allowance at the
beginning of each month. Sarah spends her allowance on
comic books. The graph below represents the amount of
money Sarah spent on comic books last month.

What is the rate of change ?

What does the rate of change represent ?

See explanation section

Step-by-step explanation:

Requirement A)

According to the graph, whenever Sarah purchased one comic book, she lost $5 from her allowance. Now the allowance remain after purchasing one comic book = ($100 - 5) = $95

Whenever she purchased three comic books, she lost $5 × 3 = $15 from her allowance. Now the allowance remain after purchasing three comic books = ($100 - 15) = $85. In that way, she lost her $50 after purchasing 10 comic books from her allowance. Therefore, the rate of change is $5.

Requirement B)

It represents that she spent $5 on her each comic book. It also represents that her each book decreases her allowance by $5.

a) -5

Step-by-step explanation:

a) slope = (90-100)/(2-0) = -5

b) rate of change represents the deduction in amount left when one more book is purchased.. which is the cost of one book

x = 12

y = 15

step-by-step explanation: