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Sagot :
Using linear functions, we have that:
- Carrier B has the lower initial fee.
- They will have the same amount after 10 months.
What is the missing information?
The table for Carrier A is missing and has two points (3,500) and (6,650).
What is a linear function?
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For Carrier B, the function is:
yB(x) = 55x + 300.
For Carrier A, when in 3 months, the price increases by $150, hence the slope is:
m = 150/3 = 50.
Hence:
yA = 50x + b.
When x = 3, y = 500, hence we use it to find b as follows.
500 = 50(3) + b
b = 350.
Then:
yA = 50x + 350.
Due to the lower intercept, we have that:
Carrier B has the lower initial fee.
They will have the same amount when:
yA = yB.
Hence:
50x + 350 = 55x + 300
5x = 50
x = 10 months.
More can be learned about linear functions at https://brainly.com/question/24808124
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