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

Question

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

Answer 1

To write the equation of the line in slope-intercept form (which is \( y = mx + b \)), we need to identify the slope (m) and the y-intercept (b) based on the problem:

• Tyreek starts with $10.75, which represents the y-intercept \( b \).
• He saves $15.50 per week, which is the slope \( m \).

Thus, we can assign:

• \( b = 10.75 \)
• \( m = 15.50 \)

Now we can construct the equation:

\[ y = 15.50x + 10.75 \]

So, the equation of the line that represents Tyreek's savings in terms of weeks is:

\[ y = 15.50x + 10.75 \]