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A cable company charges $70 per month for cable service to existing customers.

a. Find a linear equation representing the relationship between x, the number of months of service, and y, the total amount paid in dollars by an existing customer.

b.For new customers, there is an additional one-time $100 service fee. Repeat the previous problem for new customers.

c.When the two equations are graphed in the coordinate plane, how are they related to each other geometrically?

Respuesta :

KevinPug

Answer:

a: y=70x

b: y=70x+100

c: They are parallel to each other, with equation b's line being 100 dollars above equation a.

Step-by-step explanation:

They both have the same slope (70), but new customers will have a y intercept of 100 because of the one-time fee.

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raphealnwobi

The equation is given by y = 70x and for the new customers it is given by y = 70x + 100.

A linear equation is of the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept

Let x represent the number of months of service, and y represent the total amount  

a) A cable company charges $70 per month, hence:

y = 70x

b) The is an additional one-time $100 service fee, hence:

y = 70x + 100

Hence the equation is given by y = 70x and for the new customers it is given by y = 70x + 100

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