Question

3. Tmobile charges 100 dollars for the initial phone line and then 20 dollars for every phone line afterwards.

Another phone company, ToPar, does not have any initial cost but charges 30 for each phone line.
A) Write an equation for the total cost for each company.
Equation for Tmobile:
Equation for ToPar:
B) After how many phone lines will the cost be the same.
C) When would Tmobile be a better choice
D) When would ToPar be a better choice?

Answer 1

The equation for the total cost for Tmobile is y = 100 + 20x, and for ToPar is y = 30x. After 5 phone lines, the cost will be the same. Tmobile is a better choice when the number of phone lines is greater than 5, and ToPar is a better choice when the number of phone lines is less than or equal to 5.

Step-by-step explanation:

A) The equation for the total cost for Tmobile is y = 100 + 20x, where y is the total cost and x is the number of phone lines.

The equation for the total cost for ToPar is y = 30x, where y is the total cost and x is the number of phone lines.

B) To find when the cost is the same, we set the two equations equal to each other: 100 + 20x = 30x. Solving for x, we get x = 5. So after 5 phone lines, the cost will be the same.

C) Tmobile would be a better choice when the number of phone lines is greater than 5, as the cost per line decreases with Tmobile.

D) ToPar would be a better choice when the number of phone lines is less than or equal to 5, as the total cost for ToPar is lower than Tmobile for the same number of lines.

Answer 2

A)your equation for t-mobile would be
y=20x+100

Topar equation
y=30x

B) you’d set the two equation equal to each other

20x+100=30x

giving you the answer x=10

C) when x>13

D) when x<14

i’m a bit iffy on the last two but that’s the conclusion i came to