Question

You are given a cell phone bill.  You are charged $52 for the month. There is a $40 monthly fee and you are charged $4 per megabyte of data used. Construct a linear equation for this model What is the value of the y-intercept?  What does it mean? What is the value of the slope?  What does it mean? If you use 10 megabytes of data how much would you expect to pay for your bill?​

Answer 1

The equation for the problem is y = 4x + 40. The slope is 4 and the y intercept is 40

The standard equation for a linear equation is given by:

y = mx + b

Where m is the slope of the equation, b is the y intercept, y is a dependent variable and x is the independent variable.

Let x represent the charge per megabyte used and let y represent the total charge for the month

since there is a $40 monthly fee and you are charged $4 per megabyte of data used, hence:

y = 4x + 40

Comparing with the standard linear equation:

The y intercept is 40, this means that even if no data is used, $40 must be paid.

The slope is 4, that is for every megabyte used, $4 is paid.

The amount to pay for 10 MB is:

y = 4(10) + 40 = $80

$80 is paid to use 10 megabytes

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