Question

Elaine has a button collection. She currently has b buttons and will collect n additional buttons each month.

Write an equation that represents the number of buttons in Elaine's collection, c, after m months.

Answer 1

Answer:

$c=b+nm$  buttons

Step-by-step explanation:

Currently Elaine has "b" buttons

Each month, she will collect "n" buttons

So, in 1 month, she will collect n * 1 = n buttons

in 2 month, she will collect n * 2 = 2n buttons

Similarly, in "x" months, she will collect n * x = nx buttons

We want to know how much she will collect in "m" months (each month n), so that would be:

n * m = "nm" buttons

Already has "b" and in "m" months has collected "nm", so total would be:

Total = b + nm

Total collection is "c", so we can write:

$c=b+nm$  buttons