Aprepaid cell phone company charges $20 per month plus an additional $0.04 per minute for all calls.

how much will it cost to use 275 minutes in one month?
how much will it cost to use 700 minutes in one month?
write an algebraic expression to represent the total cost.

Part a)

Part b) The total cost is $31

Part c) The total cost is $48

Step-by-step explanation:

Part a) Write an algebraic expression to represent the total cost

Let

x -----> the number of minutes for all calls in a month

y ----> the total cost in dollars per month

we know that

The linear equation in slope intercept form is equal to

where

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value of the linear equation

In this problem we have

The unit rate or slope is equal to

The initial value or y-intercept (value of y when the value of x is equal to zero) is

substitute

Part b) How much will it cost to use 275 minutes in one month?

For x=275 minutes

substitute the value of x in the linear equation and solve for y

therefore

The total cost is $31

Part c) How much will it cost to use 700 minutes in one month?

For x=700 minutes

substitute the value of x in the linear equation and solve for y

therefore

The total cost is $48

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.

$4034.40

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40