Question

HELP PLEASE MARKING BRAINLIEST Han cell phone plan cost $200 to start then there's $50 charged each month(a)what is the total cost to use the cell phone plan for one month(b)what is the total cost for x months (c)which graph shows the cost of the cell phone plan over a period of two years using months as the units of time(d) is there a proportional relationship between time and the cost of the cell phone plan explain how you know

Answer 1

Answer:

• $250

,

• y=200+50x

,

• Graph A

,

• Yes

Explanation:

(a)Han cellphone's plan costs a fixed fee of $200 and an extra $50 per month.

Therefore:

$\begin{gathered} \text{The total cost for one month=}200+50 \\ =\ 250 \end{gathered}$

(b)If Han uses the phone for x months

Extra Cost = 50x

Therefore:

$\text{The total cost for x months, y=}200+50x$

(c)Since the number of months = x; and

Total cost for x months = y

When x=24

$\begin{gathered} y=200+50(24) \\ =1400 \end{gathered}$

The graph that shows the cost of the cell phone plan over a period of two years using months as the units of time is Graph A.

(d)We see that the equation y=50x+200 has a proportional constant (50).

Another approach is to say that it is a linear equation.

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