Question

SkyHigh TV is a satellite television provider. They charge by the month. The first month of service costs $85.45. After the second month, the total cost is $148.65. After the third month, the total cost is $211.85.

Write an equation in the form of y = c + d(x – 1) to represent this situation.
Let x represent the number of months, and y represent the total cost.

Answer 1

See the attached picture below:

Answer 2

Answer: y = 63.20x + 22.25, where x is the number of months and y is the total cost.

Explanation:

Let's start by finding the value of the constant term c. We know that the first month of service costs $85.45, so we have:

y = c + d(x – 1)

85.45 = c + d(1 – 1)

85.45 = c

Now we need to find the value of the slope d. We can use the information from the second and third months:

y = c + d(x – 1)

148.65 = 85.45 + d(2 – 1)

63.20 = d

y = c + d(x – 1)

211.85 = 85.45 + d(3 – 1)

126.40 = 2d

Simplifying the second equation, we get:

63.20 = d

Substituting the values of c and d into the equation, we get:

y = 85.45 + 63.20(x – 1)

y = 63.20x + 22.25

Therefore, the equation that represents this situation is:

y = 63.20x + 22.25, where x is the number of months and y is the total cost.