Holly has $60 in the bank and plans to save $20 per month. what linear equation models the relationship between the amount of money in the bank, m, and the number of months, t , it takes to save money?
m = 20t + 60
To find the linear equation that models the relationship between the amount of money in the bank (m) and the number of months it takes to save money (t), we can use the given information.
We know that Holly has $60 in the bank, and plans to save $20 per month. This means that for each month, the amount of money in the bank will increase by $20.
To express this relationship mathematically, we can use the formula for a linear equation: y = mx + b, where y represents the dependent variable (amount of money in the bank), m represents the slope (rate of change), x represents the independent variable (number of months), and b represents the y-intercept (initial value or starting point).
In this case, the slope (m) is $20 because the amount of money in the bank increases by $20 each month. The y-intercept (b) is $60 because that's the initial value or the amount of money in the bank at the start.
Therefore, the linear equation that models the relationship between the amount of money in the bank (m) and the number of months (t) it takes to save money is:
m = 20t + 60