A telephone company charges a fixed monthly rate plus a rate per minute of usage. The company charges $120 for 100 minutes of usage and $95 for 50 minutes of usage. An equation can be written to show the relationship between the total minutes used (x) and the total monthly charges (y). Which of the following best describes the steps to draw the graph of y against x? Draw a graph which joins the points (100, 120) and (50, 95) and has a slope = 0.50

Draw a graph which joins the points (100, 120) and (50, 95) and has a slope = 2

Draw a graph which joins the points (120, 100) and (95, 50) and has a slope = 2

Draw a graph which joins the points (120, 100) and (95, 50) and has a slope = 0.50

Answers

Answer 1

Answer:

Answer

Draw a graph which joins the points (100, 120) and (50, 95) and has a slope = 0.50

Explanation

A graph of y against x means that x is the independent variable and y is the dependent variable. Notice that the charge (y) depends on the number of minutes (x). Therefore, the points that we are going to join to make our graph will have coordinates (x, y)

We know that the company charges $120 for 100 minutes, so x=100 and y=120. Therefore, our first point will be (100, 120)

We also know that the company charges $95 for 50 minutes, so x=95 and y=50. Therefore, our second point will be (50, 95)

Now, to find the slope between our tow points, we are going to use the slope formula: $m=(y_(2)-y_(1))/(x_(2)-x_(1))$

where

$(x_(1),y_(1))$ are the coordinates of the first point

$(x_(2),y_(2))$ are the coordinates of the second point

We know from our points that $x_(1)=100$ , $y_(1)=120$ , $x_(2)=50$ , and $y_(2)=95$ . So let's replace those values in our formula to find $m$

$m=(y_(2)-y_(1))/(x_(2)-x_(1))$

$m=(95-120)/(50-100)$

$m=(-25)/(-50)$

$m=(1)/(2)$

$m=0.50$

Now that we have our slope, we can use the point-slope formula to complete the equation of the line joining our two points

$y-y_(1)=m(x-x_(1))$

$y-120=0.50(x-100)$

$y-120=0.50x-50$

$y=0.50x+70$

Answer 2

Answer:

Answer:

Draw a graph which joins the points (100, 120) and (50, 95) and has a slope = 0.50

Step-by-step explanation:

Related Questions

What fraction of a pound is each ingredient meat 0.35, vegetables 0.15, sauce 0.05, bread 0.05
PLEASE FACTOR these POLYNOMIALS and EXPLAIN HOW1. 12x - 3x^22. 20 - 240x^2
Can someone help me please
What are the correct answers?
What is the value of x? 5.6/8=x/24

What's the ratio of 2 gallons of liquid for every 3 hours work

Answers

2:3, 2/3, or 2 to 3. You can write this ratio any of the three ways I listed.

Is 5x a numerical expression or a Algebraic Expression?

Answers

It's an algebraic expression. "x" is a variable and 5 is a constant.

An algebraic expression is a phrase used in math that contains numbers and variables. ( Such as x, or y) It also has operators. ( Multiply, Divide, Add, Subtract.)

A numerical expression is a sentence in math that uses only numbers and operation symbols.

Hope this helps!
~ 231agoad

5x is an algebraic expression because it contains a constant (5) and a variable (x)

over the last 50 years, the average temperature has increased by 2.5 degrees worldwide. what is the rate of change in worldwide temperatures per year?

Answers

Answer:

0.05 degrees per year

Step-by-step explanation:

I need answers a b c and d

Answers

Part b)

3 and 2/5 + 1 and 1/8

Turn into improper fractions:
= 17/5 + 9/8

Find common denominator:
= 136/ 40 + 45/40

Answer it:
= 181/40

Simplify:
= 4 and 21/40

For part c and d, i'll just give the answers:

Part c)
= 9/20

Part d)
= 17/12
or = 1 and 5/12

The answers are in bold :)
(btw if you spot a mistake, sorry in advance)

Stacie paid $13.25 for new earphones. The price she paid included a sales tax of 6%.What was the price of the earphones before the tax was added?

A.
$12.46

B.
$12.50

C.
$13.19

D.
$14.05

Answers

Let us assume the original cost of the earphones = x dollars
Then
x * (106/100) = 13.25
x = 13.25 * (100/106)
= 1325/106
= 12.50 dollars
So the actual cost of the earphones was $12.50. The correct option among all the options that are given in the question is the second option or option "B".

Christina estimates that she will spend $250 on you summer clothes . She actually spends $350 . What is the percent error .

Answers

so 250 is 100%

the error is $100
find the percent of 100 out of 250

so make 100/250 into x/100
hack alert
100/250=10/25=2/5=4/10=40/100=40%

percent error is 40%

Other Questions

If the measure of an angle is 13, find the measure of its supplement

-16 = 0.2b please show work

Is this true or false? The following graph represents a proportional relationship:

Is 63 a prime number or a composite