A company offers premium cable for 39.95 per month plus a one time setup fee. the total cost for setup and 6 monthes of service is 264.70.a.write an equation in point slope form to find the total price y for any number of monthes x.(hint:the point (6,264.70)is a solution to the equation.)
b.write the equation in slope intercept form.
c.what is the setup fee?

Answers

Answer 1

Answer:

Final answer:

The setup fee for the cable service can be found by creating an equation using the given point and solving for the y-intercept. This y-intercept, in this context, represents the setup fee.

Explanation:

Firstly, we understand that the cost per month for the premium cable is $39.95. Considering this cost as a rate, we can say that the total monthly cost can be calculated by multiplying the number of months with the rate per month. The setup fee is a fixed cost, and thus it doesn't change with the number of months.

To find this setup fee, we need to find the y-intercept. In this situation, the y-intercept, denoted usually as b in the slope-intercept form equation y = mx + b, is the setup fee.

So let's solve it step-by-step:

Given the point (6, 264.70) substitutes into the equation as x and y. We can set up the following equation from this point: 264.70 = 39.95*6 + b.
After multiplying and subtracting, we solve for b. The value of b comes out to be the setup fee.

So, the setup fee is found out by subtracting from the total cost of 6 months, the cost of the cable service for these 6 months.

Learn more about slope-intercept form here:

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