You are given two x and y pairs: (100,45) and (570,162.5)
First solve for the slope, m.
m = (162.5 - 45) / (570 - 100)
m = 117.5 / 470
m = 0.25
Not only is "m" the slope but it is the rate (dollars per minute) in the question. So it's 25 cents per minute to use the phone.
After imputing "m" the linear equation looks like this:
y = 0.25x + b
Use either point as (x,y) to solve for the y-intercept "b". I'll use (100,45)
45 = 0.25(100) + b
45 = 25 + b
45 - 25 = b
20 = b
Not only is "b" the y-intercept but it is also always the flat fee added on to linearly increasing cost questions like this.
Final equation is:
y = 0.25x + 20
Part B.) If 939 minutes are used. Just put that in for x and solve for y.
y = 0.25(939) + 20
y = 234.75 + 20
y = 254.75
Answer: Last option.
Step-by-step explanation:
Given the equation:

Follow these steps to solve it:
- Subtract the fractions on the left side of the equation:

- Using the Difference of squares formula (
) we can simplify the denominator of the right side of the equation:

- Multiply both sides of the equation by
and simplify:

- Multiply both sides by
:

- Apply Distributive property and simplify:

- Divide both sides of the equation by -6:

- Factor the equation and solve for "m":

In order to verify it, you must substitute
into the equation and solve it:

<em>NO SOLUTION</em>
Answer:
hello your question is incomplete attached below is the complete question
answer : -2400 π
Step-by-step explanation:
dr/dt = -12 km/s
h = 2.5 km
r = 40 km at some instant
hence the rate of change of Volume of cylinder at that instance
= dv / dt =
=
= 
hence ; dv / dt = -2400 π
Answer:
y=4
Step-by-step explanation: