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Tom [10]
3 years ago
13

A water company charges $20 for service and $2.75 for every thousand gallons of water used in month. Construct a linear model to

represent the water bill; how much would you be charged if you used 14-thousand gallons of water this month?
Mathematics
1 answer:
ASHA 777 [7]3 years ago
8 0

Answer:

\$58.50

Step-by-step explanation:

Let

x -----> thousand. gallons of water used in month

y ----> the total charge in dollars

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the rate or slope

b is the y-intercept or initial value

In this problem we have that

m=\$2.75\ per\ thousand.\ gallons

b=\$20

substitute

The linear equation that represent this situation is

y=2.75x+20

so

If you used 14-thousand. gallons of water this month

then

x=14

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

y=2.75(14)+20

y=\$58.50

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Answer:

1.414214

Step-by-step explanation:

Value is 1.41421<u>35</u>623730950488016887242097...

Since 7th digit is a 5, the 3 gets rounded to a 4 at the end.

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7 0
3 years ago
The pep club and honor society are joining forces to raise money for school improvements.
Fittoniya [83]

Answer:

Part a) The graph in the attached figure

Part b) see the explanation

Part c) see the explanation

Step-by-step explanation:

Let

x ----> represent pep club donations

y ---> represent donations raised by the honor society

we have

x+y\geq 500 ----> inequality A

The solution of the inequality A is the shaded area above the solid line x+y=500

x\geq 100 ----> inequality B

The solution of the inequality B is the shaded area at right of the solid line x=100

Part a) Graph the system of inequalities

using a graphing tool

The solution of the system of inequalities is the shaded area

Remember that the variables x and y cannot be a negative number

see the attached figure

Part b) What does the point (300,100) represent? Is it a viable solution?

The point (300,100) means that the donations raised for pep club  was $300 and the donations raised by the honor society was $100

The point  (300,100) is not a viable solution, because the point not belong to the shaded area of the solution of the system of inequalities

<u><em>Verify</em></u>

If the ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequality  

For x=300, y=100  

<em>Inequality A</em>

300+100\geq 500      

400\geq 500  ----> is not true

The ordered pair not satisfy the inequality A

therefore

The point (300,100) is not a viable solution  

Part c) What does the point (500,200) represent? Is it a viable solution?

The point (500,200) means that the donations raised for pep club  was $500 and the donations raised by the honor society was $200

The point  (500,200) is a viable solution, because the point belong to the shaded area of the solution of the system of inequalities

<u><em>Verify</em></u>

If the ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequality  

For x=500, y=200  

<em>Inequality A</em>

500+200\geq 500      

700\geq 500  ----> is true

The ordered pair satisfy the inequality A

<em>Inequality B</em>

500\geq 100 ---> is true

The ordered pair satisfy the inequality B

therefore

The point (500,200) is a viable solution  

3 0
3 years ago
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