1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
otez555 [7]
3 years ago
9

Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hu

ndreds of cubic feet, HCF).
When graphed, the function gives a line with a slope of 1.55. See the figure below.
If the monthly cost for 15 HCF is $47.84, what is the monthly cost for 9 HCF?
Mathematics
1 answer:
dolphi86 [110]3 years ago
5 0

Answer:

The monthly cost for 9 HCF is $38.54

Step-by-step explanation:

<em>The graph is missing; however, the question can still be solved</em>

Given

Slope = 1.55

When monthly cost = $47.84, Amount of water = 15 HCF

Required

Determine the monthly cost for 9 HCF

From the question, we understand that it is a linear function;

Linear functions are of the form

y = mx + b

Where y is the function of x and m is the slope

In this case; the function is the monthly water bill

and x is the amount of water

Solving for b

When monthly cost = $47.84, Amount of water = 15 HCF

The function is as follows;

47.84 = 1.55 * 15 + b

47.84 = 23.25 + b

Subtract 23.25 from both sides

47.84 - 23.25= 23.25 - 23.25 + b

24.59 = b

b = 24.59

Solving for the monthly cost for 9 HCF

Here, we have that

x = Amount\ of\ water = 9

m = Slope = 1.55

b = 24.59

Substitute these values in the linear function; y = mx + b

y = 1.55 * 9 + 24.59

y = 13.95 + 24.59

y = 38.54

<em>Hence, the monthly cost for 9 HCF is $38.54</em>

You might be interested in
A company buys pens at the rate of $5.50 per box for the first 10 boxes, $4.50 per box for the next 10 boxes, and $3.50 per box
marusya05 [52]

So it is really easy to solve firstly we can see how much does the first 10 boxes make which makes around 55$ obviously. Secondly 45$ for the next 10 boxes.

So for now we can simply calculate that we have spent around 100$ which means 20 boxes. The remaining money left is 77$ so we can buy 77/3.5 = 22 only 22 boxes with that money. Hence a total of 42 boxes.

4 0
3 years ago
What s the length of the arc for the half circle
Andrej [43]

Answer`Step-by-step explanation:

The length of an arc depends on the radius of a circle and the central angle Θ. We know that for the angle equal to 360 degrees (2π), the arc length is equal to circumference. Hence, as the proportion between angle and arc length is constant, we can say that:

Hope that help, at least a bit.

3 0
3 years ago
EXERCISE 7<br>Solve forx:<br>​
Licemer1 [7]

Answer:

hope it helps.................

5 0
3 years ago
A toolbox contains 12 screwdrivers and 11 wrenches. Each screwdriver has a mass of 1,298 grams, and each wrench has a mass of 2,
kupik [55]

Answer:

Each screwdriver has a mass of 1,298 grams, and each wrench has a mass of 2,282 grams.

Step-by-step explanation:

8 0
2 years ago
I need help and it’s due today
olga nikolaevna [1]

Answer: same bruh

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Morgan buys 6 rolls of paper towels. She got 525.6 feet of paper towels in all. How many feet was each roll?
    10·2 answers
  • A composition of refiections over parallel lhes is the same as a
    5·1 answer
  • 347310629 expanded form
    13·2 answers
  • point M divides AB so that AM:MB 1:2. If A has coordinates (-1,-3) and B has coordinates (8,9), what are the coordinates of M?
    7·1 answer
  • Help I’ll give brainliest
    11·2 answers
  • What is the m for this slope?
    6·2 answers
  • Carlos spends 17 hour in a two-week period practicing the piano how many hours does he practice in 5 weeks
    13·2 answers
  • What are the solutions to the quadratic equation (round to nearest hundredth) x2 + 6x<br> -6 = 0 ?
    7·1 answer
  • If you are 99 pounds, and you eat 1 pound nachos, are you 1 percent nachos?
    9·1 answer
  • Explain why solving a system of equations using graphing is not a useful solution technique?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!