The monthly cost (in dollars) of water use is a linear function of the amount of water used (in hundreds of cubic feet, HCF). The cost for using 14 HCF of water is $ 32.68 , and the cost for using 52 HCF is $ 95.38 . What is the cost for using 19 HCF of water?
Answers
Answer:
$40.93
Step-by-step explanation:
Given
Linear function of:
- 14 HCF = $32.68
- 52 HCF = $95.38
To find:
- 19 HCF = ?
Solution
Linear equation in slope-intercept form:
- y(x) = mx +b
We have points of: (14, 32.68), (52, 95.38):
- y(14) = 14 m + b
- y(52) = 52 m +b
Using the points we can find the value of m and b:
- m= (y2-y1)/(x2-x1)
- m= (95.38 - 32.68)/(52 - 14)
- m = 62.7/ 28
- m= 1.65
Then finding b:
- 14*1.65 +b = 32.68
- b= 32.68 - 23.1
- b= 9.58
So the function is:
- y = 1.65 x + 9.58
Then y(19) is found as:
- y(19) = 1.65*19 + 9.58
- y(19) = 40.93
Answer: Cost of 19 HCF of water is $40.93
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Answers
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Final answer:
The numbers 8 and 400 have different orders of magnitude. They also possess a ratio relationship, with 400 being 50 times bigger than 8. While not directly related through square and square root, both numbers share these relationships with other numbers.
Explanation:
The relationship between the values 8 and 400 can be understood through the concept of order of magnitude in mathematics. The order of magnitude is a rough measure of the size of a number, typically based on powers of 10.
An important factor in analyzing this relationship is understanding the concept of ratio and interval level data. Unlike interval level data, the ratio between the numbers, in this case 8 and 400, carries meaningful information in a ratio scale data. In this case, 400 is 50 times bigger than 8.
Another mathematical relationship between 8 and 400 is square and square root, since 400 is the square of 20, and 8 is the square root of 64. So, although there is no direct square or square root relationship between 8 and 400, they share these relationships with other numbers.
Learn more about Order of Magnitude here:
#SPJ2
Answer:
They both come in the 8 times table.
Answers
y-intercept = (0,6)
Answers
Answers
The Answer:
If Sandra started at 800 meters and went up 120, the answer would be 920.
Step-by-step explanation:
First, simply add 800 meters, which is what she started with. Next, since she has gone up 120 meters since then, and the question is asking us what her elevation is NOW, you can add 800 + 120 to get 920. This question is solved by using addition.
Hope this helps!
You would add 120 and 800 which is 920
Answers
Answer:
The probability that the student is in high school and has visited a foreign country is 0.18.
Step-by-step explanation:
We are given that in a survey of students, 60% were in high school and 40% were in middle school.
Of the high school students, 30% had visited a foreign country.
Let the Probability that students were in high school = P(H) = 60%
Probability that students were in middle school = P(M) = 40%
Also, let F = event that students had had visited a foreign country
So, Probability that high school students had visited a foreign country = P(F/H) = 30%
Now, probability that the student is in high school and has visited a foreign country is given by = Probability that students were in high school Probability that high school students had visited a foreign country
= P(H) P(F/H)
= 0.60 0.30
= 0.18 or 18%