Question

Rosetta owns a wedding photography business. For each wedding, she charges $100 plus $50 per hour of work. A linear equation that expresses the total amount of money Rosetta earns per wedding is y= 50x+100. What are the independent and dependent variables? What is the y-intercept and the slope?
a. The independent variable (z) is the amount of time Rosetta shoots photos. The dependent variable (y) is the amount, in dollars, Rosetta earns for a wedding.
b. Rosetta charges a one-time fee of $100 (this is when 2-0), so the y-intercept is 100. Rosetta earns $50 for each hour she works, so the slope is 50.
c. The independent variable (x) is the amount in dollars, Rosetta earns for a wedding. The dependent variable (y) is the amount of time Rosetta shoots photos.
d. Rosetta charges a one-time fee of $100 (this is when : 0), so they intercept is 100. Rosetta earns $50 for each hour she works, so the slope is 50.
e. The independent variable(x) is the amount of time Rosetta shoots photos.

Answer 1

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.