Jonas is saving money for an upcoming vacation. He currently has $50 in his savings account. He plans to add $3 each week. Write an equation that represents the relationship between the amount of money, y

, and the number of weeks, x
. Use the slope-intercept form y=mx+b
.(1 point)

1 answer

To represent Jonas's savings in an equation of the form \( y = mx + b \), we can identify the components as follows:

  • \( y \) will represent the total amount of money in Jonas's savings account after \( x \) weeks.
  • The slope \( m \) is the rate at which he adds money each week, which is $3. So, \( m = 3 \).
  • The y-intercept \( b \) is the initial amount of money Jonas has, which is $50. So, \( b = 50 \).

Putting these together, the equation that represents the relationship between the amount of money \( y \) and the number of weeks \( x \) is:

\[ y = 3x + 50 \]