A cable company charges its existing customers per month for cable service. Write a linear equation representing the relationship between the number of months of service, , and the total amount paid in dollars by an existing customer,.

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The formula is y = 70x, and for brand-new clients, it is y = 70x + 100.

The form of a linear equation is:

y = mx + b

where y and x are variables, m represents the line's slope, and b represents the y-intercept

Let y be the total payment and x denote the number of months of service.

a) A cable provider charges $70 monthly, thus

y = 70x

b) There is an extra one-time $100 service charge, so:

y = 70x + 100

Consequently, the equation is given by y = 70x, and for the additional clients, y = 70x + 100.

To learn more about linear equations:

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