5) james and andrew are considering adding some premium channels to their satellite package. the cost of

their total bill if they added 1 and 4 premium channels is $45.60 and $66.60, respectively.

a) find the slope.

b) write the equation of the line.

c) determine the base price (with o premium channels).

Part (A): The slope is 7.

Part (B): The required equation of line is .

Part (C): The base price is $38.6

Step-by-step explanation:

Consider the provided information.

The cost of  their total bill if they added 1 and 4 premium channels is $45.60 and $66.60, respectively.

For 1 premium channel they need to pay $45.60.

This can be written as: (1, 45.60)

For 4 premium channel they need to pay $66.60.

This can be written as: (4, 66.60)

Part (A) Find the slope.

Substitute and in above formula.

Hence, the slope is 7.

Part (B) Write the equation of the line.

By using one of the point and slope we can write the equation of line.

Point slope formula:

Substitute the respective values in the above formula.

Hence, the required equation of line is .

Part (C) Determine the base price (with O premium channels)

Substitute x=0 in .

Hence, the base price is $38.6

78.59 is the mean

step-by-step explanation:

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.