Charles and Wilma have different internet providers. Charles pays $0.25 per gigabyte of data. Wilma pays a flat fee of $20 and $0.05 per gigabyte. How many gigabytes of data must each use for Charles' internet bill to equal Wilma's internet bill?

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Answer:

We want to find the point where these two lines intersect:

Equation for Charles: y=0.25x

Equation for Wilma: y=0.05x+20

0.25x=0.05x+20

0.2x=20

x=100

So, Charles must use 100 gigabytes of data to equal Wilma's internet bill.

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The number of gigabytes of data that must be used for Charles' internet bill to equal Wilma's internet bill is; 100 gigabytes

What is the Intercept of the equations?

Let the amount of gigabyte of data be x.

Since Charles pays $0.25 per gigabyte of data, then the equation for Charles is; y = 0.25x

Wilma pays a flat fee of $20 and $0.05 per gigabyte and as such the equation for Wilma is; y = 0.05x + 20

For Charles' internet bill to equal Wilma's internet bill, Thus;

0.25x = 0.05x + 20

0.2x = 20

x = 20/0.2

x = 100

Thus, Charles must use 100 gigabytes of data to equal Wilma's internet bill.

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