Victoria gets paid $100 as a flat rate each week, as well as $20 per hour. Let y equal the amount Victoria gets paid per week and x equal the number of hours she works per week. Given that the graph shows the set of all solutions, what is the mathematical equation that explains the function?

Answer 1

To formulate the equation that represents the amount Victoria gets paid per week \( y \) in terms of the number of hours she works per week \( x \), we can start with the components of her pay.

Victoria receives a flat rate of $100 for the week, irrespective of the hours worked, and an additional $20 for each hour she works. Therefore, her total weekly pay \( y \) can be expressed as the sum of her flat rate plus her hourly wage multiplied by the number of hours worked.

This can be formulated as:

\[ y = 100 + 20x \]

Where:

• \( y \) is the total amount Victoria gets paid per week,
• \( 100 \) is the flat rate she receives,
• \( 20x \) is the additional pay earned for working \( x \) hours (with $20 per hour).

In summary, the mathematical equation that explains the function is:

\[ y = 100 + 20x \]