30 POINTS!! Part 1
A cable company offers premium internet service for $69 per month plus an initial set-up cost. The total cost for set up and 6 months of service is $466.00

Model the cost of using their services over time with an algebraic equation.

What are the variables?
What is the initial set-up cost? Explain how you determined this.
Write the equation.
Identify which variable is independent and which is dependent.
What is the cost of having the internet after 2 years? Explain

Part 2
Search the internet for another type of monthly payment (expense) you might have as a teen or adult that would include an initial payment or start-up cost, e. g., a down payment/deposit, registration fee, etc. Some examples: Car lease or loan (with interest), house payment (mortgage), cell phone service, gym membership.

Explain the scenario.
Cite your resources - websites etc.
Label the variables in your scenario.
Initial fee or deposit.
Write the equation to model the situation. Explain the equation.
What is the amount paid for the service over the course of two years? Explain your answer.

Polygon mnopq is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image m′n′o′p′q′. the coordinates of point m are (2, 4), and the coordinates of point n are (3, 5). the slope of is .

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. you notice the rainbow is the shape of a parabola. the equation for this parabola is y = -x2 + 36. graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0. in the distance, an airplane is taking off. as it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow. analyze the two functions. answer the following reflection questions in complete sentences. what is the domain and range of the rainbow? explain what the domain and range represent. do all of the values make sense in this situation? why or why not? what are the x- and y-intercepts of the rainbow? explain what each intercept represents. is the linear function you created with your table positive or negative? explain. what are the solutions or solution to the system of equations created? explain what it or they represent. create your own piecewise function with at least two functions. explain, using complete sentences, the steps for graphing the function. graph the function by hand or using a graphing software of your choice (remember to submit the graph).

How do you find the distance of each number from the mean