Question

IS THIS CORRECT!!!!!!!!!!!!!

Answer 1

The graph is the region (-∞,18)

i.e. the shaded region to the left of 18 and open circle at 18.

Explanation:

It was given that the cost of the current plan is: $ 175 per month.

Also, the flat rate of new plan is: $ 94

Also, cost of 1 device is: $ 4.50

cost of x device is: $ 4.50x

Total cost of the new plan for x devices is: $ (94+4.50x)

Now we are asked to find the inequality such that the total cost of new plan is less than the current plan i.e.

94+4.50x < 175

i.e. 4.50x < 175-94

i.e. 4.50x < 81

i.e. x<18

Hence,the graph would be a line to the left of 18 with open circle at 18, since the inequality is strict.

Answer 2

For this case, the first thing we must do is define variables.
We have then:
x: number of devices.
Y: plan charge
For the current plan we have:

`y = 175`
For the new plan we have:

`y = 4.5x + 94`
Since we want the new plan to be smaller than the current plan, then we have:

`175\ \textgreater \ 4.5x + 94`
From here, we clear the value of x:

`4.5x \ \textless \ 175 - 94 x \ \textless \ 81 / 4.5 x \ \textless \ 18`
Answer:
x <18
Note: The graph is correct