Answer:
The equation that represents this situation is y = 5x + 25
Explanation:
The form of the linear equation is y = m x + b, where
- m is the rate of change (slope0
- b is the initial amount (y-intercept)
∵ David has 25 dollars in his savings account
→ That means 25 is the initial amount
∴ b = 25
∵ He starts to put back 5 dollars per week into his savings
→ That means the rate is 5 dollars per week
∴ m = 5
→ Assume that his total saving after x weeks is y dollars
∵ y is his total saving in x weeks
→ Substitute the values of m and b in the form of the equation above
∴ y = 5x + 25
∴ The equation that represents this situation is y = 5x + 25