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
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.
a b c or d
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.
To find the mathematical equation that explains the function, let's break down the information given.
The flat rate that Victoria receives each week is $100. This means that regardless of the number of hours she works, she will always receive this amount. We can represent this flat rate as a constant value, which we will add to the total amount she earns based on her hours worked.
Victoria also earns $20 per hour. This means that for each hour she works, she will receive an additional $20. Since the amount earned per hour is multiplied by the number of hours worked, we need to use the variable "x" to represent the number of hours.
To find the total amount Victoria gets paid per week, we need to add the flat rate and the amount earned from working those hours. Therefore, the equation that represents the function is:
y = 100 + 20x
In this equation, "y" represents the amount Victoria gets paid per week, and "x" represents the number of hours she works per week. The equation y = 100 + 20x summarizes the relationship between Victoria's pay and her hours worked.