Question

The phone company NextFell has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 470 minutes, the monthly cost will be $200.5. If the customer uses 590 minutes, the monthly cost will be $242.5.

A) Find an equation in the form
y=mx+b
,
where
x
is the number of monthly minutes used and
y
is the total monthly of the NextFell plan.

Answer 1

The equation in the form y = mx + b is y = 0.35x + 36.

How to represent a linear equation?

The equation formed from the expression is a linear equation and should be expressed in the slope intercept form.

y = mx + b

where

• m = slope
• b = y-intercept

Therefore,

y = mx + b

where

• x = the number of monthly minutes used
• y = the total monthly of the Next fell plan

using the coordinates, let's find m

(470, 200.5)(590, 242.5)

Hence,

m = 242.5 - 200.5 / 590 - 470

m = 42 / 120

m = 0.35

Therefore,

y = 0.35x + b

200.5 = 0.35(470) + b

200.5  - 164.5 = b

b = 36

Finally, the equation in the form y = mx + b is y = 0.35x + 36.

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