writing and solving equations and systems

Question

taylor has just opened her first bank account. Her parents have started her off with $250 and he plans to add $50 each month. write an equation (y) for how much money taylor will have after (x) months taylor does this for 5 years. how much money does taylor have?

Answer 1

Taylor has

y = 250 + 50x

dollars after x months.

(I wish they had called the number of months "m" instead of "x".)

(I wish they had called the number of dollars "d" instead of "y".)

For example, at the start she has 250 dollars.

After 1 month, she has 300 dollars.

After 2 months, she has 350 dollars.

After 3 months, she has 400 dollars.

It keeps going up, at the rate of 50 dollars per month.

Five years is 5 · 12 = 60 months.

So after 5 years (or 60 months), we can plug x=60 into the above equation and see that Taylor will have

y = 350 + 50x = 250 + 50⋅60 = 250 + 300 = 550 dollars.