Tyreek is saving money to buy a new video game system. He starts with $10.75 and saves $15.50 per week.

Write the equation of the line in slope-intercept form that represents Tyreek's savings, y, in terms of weeks, x.

(1 point)
The equation in slope-intercept form is

1 answer

The slope-intercept form of a linear equation is given by:

\[ y = mx + b \]

where:

  • \( y \) is the total amount of savings,
  • \( m \) is the slope (the amount saved per week),
  • \( x \) is the number of weeks,
  • \( b \) is the y-intercept (the initial amount of savings).

In this case:

  • The initial amount Tyreek has is $10.75, so \( b = 10.75 \).
  • The amount Tyreek saves per week is $15.50, so \( m = 15.50 \).

Substituting these values into the slope-intercept form, we get:

\[ y = 15.50x + 10.75 \]

Thus, the equation in slope-intercept form that represents Tyreek's savings in terms of weeks is:

\[ y = 15.50x + 10.75 \]