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.
You might be interested in
Answer:
Domain of the given function is all real numbers and the range of the function all real numbers.
Step-by-step explanation:
The given function is
.... (1)
The slope intercept form of a line function is
.... (2)
Where, m is slope and b is y-intercept.
From (1) and (2), we get
It means the slope of the line is -5 and y-intercept is 4.
Draw a line with slope -5 and y-intercept 4 on a coordinate plane as show below.
Domain is the set of inputs and range is the set of outputs.
The function is defined for all values of x. So, the domain of the function is all real numbers.
The value of function can be any real number. So, the range of the function is all real numbers.
Therefore, the domain of the given function is all real numbers and the range of the function all real numbers.
Answer:
5
Step-by-step explanation:
=
=
= 5