Question

PLEASE HELP WILL GIVE POINTS

Batrative
7 Her's cell phone plan costs $200 to start. Then there is a $50 charge each month
a What 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?
YA
c. Graph the cost of the cell phone planever a period of two years, using mohs
as the units of time. Be sure to label your axes and scale them by labeling rach
gridline with a number.
d. Is there a proportional relationship between time and the cost of the cell phone
plan? Explain how you know.
e. Tyler's cell phone plan costs $350 to start, then there is a $50 charge each
month. On the same grid as Han's plan, graph the cost of Tyler's cell phone plan
over a period of two years. Describe fow the two graphs are the same and how
they are different.

Answer 1

The equation we would use is y = 50x + 200, which means 50 dollars charge for every month (x) and the starting value is 200. Y represents the total cost.
a. Using this, plug in 1 into the x value to get the total cost (y) for one month. So y = 50*1 + 200, which is just 50 + 200, which is 250. So y for 1 month would be 250.
b. The equation above (y = 50x + 200) would also represent the cost for x months.
c. Graph the line using the equation (200 as starting value (value at 0) and 50 as rise in slope)
Label the horizontal x-axis “time in months”, and each grid line represents “2” months (bc there’s 12 lines, and we want to graph 2 years/24 months). Label the vertical y-axis “cost in hundreds of dollars) and label each grid line “2” bc it represents hundreds of dollars.
d. There is a proportional relationship between time and cost bc as time goes by, cost goes up.
e. Graph the line using the new equation: y = 50x + 350 (350 as starting value (value at 0 x) and 50 as rise in slope)
Describe what you see (Tyler’s plan is more expensive bc the starting value/y-intercept is higher)