Linear equation word problem

Question

Clarissa is saving money at a constant rate. After 2 months she has 84 in her savings account. After 5 months she has $210 in her account.

a. Write an equation that relates the amount of money she has in her savings account to the number of months that have passed. Let x represent the number of months and y represent the total amount of money in the account.

Answer 1

For linear,

y=mx+b

We have two equations

84=2m+b

210=5m+b

If you subtract the first equation from the second:

126 = 3m

m = 42

84 = 42(2) + b --> b = 0

y = 42x