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?

(1 point)
Responses

y=20x
y equals 20 x

y=100+20x
y equals 100 plus 20 x

y=100x+20x
y equals 100 x plus 20 x

y=100x

1 answer

To find the mathematical equation that describes Victoria's weekly earnings, we need to consider both components of her pay.

  1. She receives a flat rate of $100 per week.
  2. She earns $20 for each hour she works.

Let \( y \) be the total amount Victoria gets paid per week and \( x \) be the number of hours she works. The total pay can be represented by the equation:

\[ y = 100 + 20x \]

This means her total pay is the sum of the flat rate and the hourly pay.

Therefore, the correct response is:

y = 100 + 20x.