The local ice cream shop is deciding whether or not to hire a new worker. The shop must pay the worker hourly and cover a daily cost for insurance. The cost to pay an hourly worker for one day is represented by the function y = 10x + 30, where x is hours.
What is the slope, and what does it represent?
30; it represents the hourly wage for the worker
30; it represents the cost for insurance
10; it represents the hourly wage for the worker
10; it represents the cost for insurance
is it c pls help
correct
its c c:
Find the equation of a sine wave that is obtained by shifting the graph of y=sin(x)y=sin(x)
- to the right 8 units and
- downward 3 units and
- vertically stretched by a factor of 2.
Yes, you are correct. The slope, represented by 10 in the given function y = 10x + 30, represents the hourly wage for the worker. So the correct answer is c - 10 represents the hourly wage for the worker.
To understand how to arrive at this answer, let's break down the given function y = 10x + 30. In this function, y represents the total cost to pay an hourly worker for one day. The x variable represents the number of hours worked by the worker.
The slope of a linear function represents the rate of change of the dependent variable (in this case, the total cost) with respect to the independent variable (in this case, the number of hours worked). In other words, it measures the amount by which the dependent variable changes for each unit increase in the independent variable.
In this context, the slope of 10 means that for every additional hour worked by the worker, the total cost increases by $10. Therefore, 10 represents the hourly wage for the worker.
So, your answer is the correct choice, c - 10 represents the hourly wage for the worker.