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

The slope-intercept form of a linear equation is given by \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

In this scenario:

  • The amount of money \( y \) Jonas has after \( x \) weeks can be represented.
  • Jonas starts with $50, so \( b = 50 \).
  • Each week, he adds $3, so \( m = 3 \).

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

\[ y = 3x + 50 \]