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#3 D
MODELING REAL LIFE You consider buying a phone from one of two cell phone carriers. The table shows the total costs
(in dollars) of the phone and service for different numbers of months at Carrier A. The total cost y (in dollars) of the phone
and x months of service at Carrier B is represented by the equation y = 55x + 300. Which carrier has the lower initial fee?

3 D MODELING REAL LIFE You consider buying a phone from one of two cell phone carriers The table shows the total costs in dollars of the phone and service for d class=

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Answer:

Step-by-step explanation:

MrRoyal

The carrier that has the lower initial fee is carrier B

How to determine which carrier has the lower initial fee?

For carrier B, we have the following equation

y = 55x + 300

Set x = 0 to determine the initial fee

y = 55 x 0 + 300

Evaluate

y = 300 ---- the initial fee of carrier B

For carrier A, we have the following points on the table

(x, y) = (3, 500), (6, 650)

The slope of the points is calculated using

m = (y2 - y1)/(x2 - x1)

This gives

m = (650 - 500)/(6 - 3)

Evaluate

m = 50

Let the initial fee of carrier B y

So, we have the following points

(x, y) = (0, y), (6, 650)

The slope of the points is calculated using

m = (y2 - y1)/(x2 - x1)

This gives

m = (650 - y)/(6 - 0)

Evaluate

m = (650 - y)/6

Substitute m = 50 in m = (650 - y)/6

50 = (650 - y)/6

This gives

300 = 650 - y

Solve for y

y = 350

So, we have:

y = 300 ---- the initial fee of carrier B

y = 350 ---- the initial fee of carrier A

300 is less than 350

Hence, the carrier that has the lower initial fee is carrier B

Read more about linear equations at

https://brainly.com/question/14323743

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