One Sunday, a 44-minute call cost $2.54. On another Sunday, a 10-minute call cost $0.84. Assume that the cost in dollars of a call, y, is a linear function of the time in minutes, x. Find a linear equation that gives the cost of a Sunday call.

Respuesta :

Assume the  cost in dollars of a call, y, is a linear function of the time in minutes, the linear equation that gives the cost of a Sunday call is y = 0.05x + 0.34

How to model a linear function

The linear equation is represented as follows:

y = mx + b

where

m = slope

b = y -intercept

Therefore,

(44, 2.54)(10, 0.84)

m = [tex]\frac{0.84-2.54}{10-44}[/tex]

m = [tex]\frac{-1.7}{-34}[/tex]

m = $0.05

Therefore,

y = cost in dollars

x = time in minutes

0.84 = 0.05(10) + b

0.84 - 0.5 = b

b = 0.34

Therefore,

y = 0.05x + 0.34

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