Question

7. Han's cell phone plan costs $200 to start. Then there is a $50 charge each month. a. What is the total cost (start up fee and monthly charge) to use the cell phone plan for 1 month? b. What is the total cost for x months?c.Graph the cost of the cell phone plan over a period of two years using month as the units of time be sure to label your axes and scale them by labeling each grid line with a number.d.Is there a portions relationship between time and the cost of the cell phone plan.e. Draw a line a parallel to the line you graphed that goes through the point(0,350) suppose that this line represents the pricing plan for another company.What is the startup fee and monthly cost for this plan?

Answer 1

Answer:

a. $250

b. The total cost for x month is $200 + $50 × x

c. Please see the attached graph

d. Yes, there is a proportional relationship between time and the cost of the cell phone plan

e. $350

Step-by-step explanation:

The given parameters are;

The costs to start on the cell phone cell = $200

The charge each month = $50

a. The total cost to use the cell phone plan for 1 month = Start up fee + Monthly charge = $200 + $50 = $250

b. The total cost for x month, c = $200 + $50 × x

c. Please see the attached graph

d. Yes, there is a proportional relationship between time and the cost of the cell phone plan

e. The line parallel to the line graphed that goes to the point (0, 350), is given as follows;

y = m·x + c

Where;

m = 50

y - 350 = 50 × (x - 0)

y = 50·x + 350

The startup fee is given by the total cost at x = 0, when the monthly fee is excluded, which gives;

c = 50 × 0 + 350 = 350

The startup fee for the pricing plan = $350.

Answer 2

the start up plan is $350