What is the linear equation for the following. Need Homework Help?

Question

The monthly cost of long distance service is given by the linear function y=0.05x + 9.95 where y is in dollars and x is the amount of time in minutes called in a month. Find and interpret the slope and y-intercept of the linear equation.

Answer 1

y = mx + b, where m = slope and b = y intercept

from the equation y = 0.05x + 9.95

we get m = 0.05, and y intercept = 9.95

Answer 2

If you talk x minutes, then you pay y dollars. This is the interpretation of the equation you have. Now let's look into it in detail:

If you talk nothing (x=0), you still have to pay 9.95. In terms of linear equations, this is the point where the line representing the graph intersects the Y axis. In terms of telephone companies, this is what they call "monthly fee" or "service fee" (ust look on any telephone bill, they all have the same structure)

In addition of the monthly fee, they charge 0.05 for every minute used. This is the term 0.05x in the equation. In terms of linear equations, the coefficient of x is called slope. Since this is a telephone company, they call it "per-minute charge" or "rate".

Rigorously speaking, the slope is defined as (change in y)/(change in x), or (y2-y1)/(x2-x1), where the pairs (x1,y1) and (x2,y2) are connected by your equation, If you replace the y values from the equation, you will get that for the linear equation the slope is constant and it is exactly the coefficient of x.

Answer 3

if x = 0 , y = 9.95
ie $9.95 will be the standing charge (no calls made)
ie this is the charge even if no calls are made.
When calls (x mins) are made , these are multiplied by 0.05 to give $0.05x
Total is then $0.05x + $9.95
This is shown in equation as:-
y = 0.05 x + 9.95
y intercept = 9.95 (standing charge of $9.95)
slope = 0 . 05 (the steeper the slope, the greater the cost of making a call)

Answer 4

Slope Intercept for is written as y=mx+b
where m=slope and b=the Y intercept
therefore, the slope is 0.05 or 1/20 (1 up and 20 over) and the intercept is 9.95. The intercept is where the line crosses on the Y axis so this line is not steeply sloped and it crosses the y axis at 9.95.

Answer 5

If you know the parts of a linear equation, it should be easy to know. The value after the x is your slope and the y intercept is your constant on the far right side.
0.05 is your slope and 9.95 is your y intercept.

Answer 6

Ooh, I've always hated word problems, but here it goes.
Linear equations will always fit into the formula:
Y = mX + b
m is the slope of the equation and b is the y-intercept.

In this case m is 0.05, so the slope of the equation is 0.05
and b is 9.95, so the y-intercept is 9.95

Hope this helps!

Answer 7

slope=0.05
y-int=9.95

Answer 8

y = 9.95

x= 199

m= .05