Question

Victoria gets paid $100 as a flat rate each week, as well as $20 per hour. Let%C2%A0 y equal the amount Victoria gets paid per week and x %C2%A0equal 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=100+20x y equals 100 plus 20 x y=100x y equals 100 x y=20x y equals 20 x y=100x+20x

Answer 1

The given information states that Victoria gets paid a flat rate of $100 each week plus an additional $20 for each hour she works. If we let \( y \) be the total amount Victoria gets paid per week, and \( x \) be the number of hours she works per week, then the mathematical equation that explains this function is:

\[ y = 100 + 20x \]

This means that Victoria's weekly pay (y) is equal to $100 plus $20 times the number of hours she worked (x). The equation reflects a linear relationship between the hours worked and the total payment Victoria receives. The term "100" represents the flat rate payment per week, regardless of the number of hours worked, and the term "20x" represents the variable pay based on the hours worked at a rate of $20 per hour.

Answer 2

a b c or d

Answer 3

Apologies for any confusion caused by the formatting. The correct choice, given the options you've provided in your initial question, is:

a) \( y = 100 + 20x \)

That's the mathematical equation which represents Victoria's weekly earnings, with a flat rate of $100 plus $20 for each hour worked.