An internet service provider is implementing a new program based on the number of connected devices in each household. Currently
, customers are charged a flat rate of $175 per month. The new plan would charge a flat rate of $94 plus an additional $4.50 per device connected to the network. Find and graph the number of devices, x, for which the cost of the new plan is less than the current plan.
2 answers:
The current rate is simply equal to $175 per month, let us call this as rate A:
A = 175
The new rate is $94 plus $4.50 per devices, let us call this as rate B:
B = 94 + 4.50 x
where x is the number of devices connected to the network
The inequality equation for us to find x which the new plan is less than current plan is:
94 + 4.50 x < 175
Solving for x:
4.50 x < 81
x < 18
So the number of devices must be less than 18.
- From the graph, we can actually see that the new rate intersects the current rate at number of devices equal to 18. So it should really be below 18 devices.
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Answer:
y = 10x - 2
Step-by-step explanation:
From the table attached,
Let the equation of a line passing through two points and
is,
y = mx + b
Here, m = slope of the line
b = y-intercept
Since, m =
Slope of the line passing through (0, -2) and (1, 8) will be,
m =
m = 10
y-intercept 'b' = -2 [Output value at x = 0]
Therefore, equation of the line will be,
y = 10x - 2