The options are not clear enough, so i have attached it.
Answer:
A: The independent variable (x) is the amount of time Rosetta shoots photos. The dependent variable (y) is the amount, in dollars, Rosetta earns for a wedding.
Rosetta charges a one-time fee of $100 (this is when x = 0), so the y-intercept is 100. Rosetta earns $50 for each hour she works, so the slope is 50
Step-by-step explanation:
We are given the equation of total amount of money Rosetta earns per wedding as;
y = 50x + 100
Where x is number of hours.
Now, the independent variable will be x because it doesn't depend on any other variable whereas the dependent variable will be y because it depends on how many hours which is x.
Now, the y-intercept occurs when x = 0.
Thus;
y = 50(0) + 100
y = 100
Thus,she charges a one time fee of $100, so the y-intercept = $100 at x = 0.
From slope intercept equation which is;
y = mx + c and comparing with y = 50x + 100, where m is the slope, we can see that m = 50.
Thus, since she earns $50 per hour, the slope is 50.
The correct option is Option A.
