Franklin's faucet was leaking, so he put a bucket underneath to catch the water. After a while, Franklin started keeping track of how much water was in the bucket. His data is in the table below. 1. Write the equation for the relationship.
2. Predict how much water will be in the bucket after 14 hours if Franklin doesn't stop the leak.
Answers
Final answer:
The relationship between the number of hours and the amount of water in the bucket can be represented by the equation y = 8x. After substituting 14 for 'x' in the equation, we find that there will be 112 ounces of water in the bucket after 14 hours.
Explanation:
The relationship between the number of hours and the amount of water in the bucket can be represented by a linear equation. Let's call the number of hours 'x' and the amount of water in the bucket 'y'. We can use the data in the table to find the equation.
From the data, we can see that the amount of water in the bucket increases by 8 ounces every hour. So, the equation for the relationship is y = 8x.
To predict how much water will be in the bucket after 14 hours, we can substitute 14 for 'x' in the equation and solve for 'y'. Substituting the values, we get y = 8 × 14 = 112 ounces. Therefore, if Franklin doesn't stop the leak, there will be 112 ounces of water in the bucket after 14 hours.
Learn more about Linear equation here:
#SPJ6
Final answer:
The question pertains to a mathematical concept of linear equations and prediction. Based on the rate of water leakage given in a data table, a linear equation can be formed: y = r*x, where r is rate and x is time. Substituting 14 for x would allow for a prediction of water collected after 14 hours.
Explanation:
The subject of the question is Mathematics, particularly dealing with linear equations and predictions which is generally taught in Middle School. The problem provided seems to be an example of a linear relationship, meaning the amount of water in the bucket increases at a constant rate over time. However, without access to the data table mentioned, we can't directly determine the specific relationship or make a precise prediction.
Assuming that you have data in the form of ‘hours passed’ and ‘quantity of water in the bucket’ we can use this information to create a linear equation. Let’s say, for instance, the constant rate is r gallons per hour. This would make the equation y = r * x, where y is the total amount of water and x is the time passed.
To predict how much water will be in the bucket after 14 hours, simply substitute 14 into the equation for x. Again, assuming a rate of r, this would be y = r * 14. Without the specific values from the table, this is as accurate a prediction as possible.
Learn more about Linear Equations here:
#SPJ12
Related Questions
If I put $ 1500 into my savings account and earned $ 180 of interest at 4 % simple interest, how long was my money in the bank?
Write the equation in function form then graph the equation 3x-y=5
If m∠ABC = 72°, what is m∠DAB?A) 72° B) 108° C) 144° D) 216°
Find the missing measure in each pair of similar shapes.
Answers
Hope this helps! (:
3x + y = 4
Answers
Answer:
x = 17/4, 4 1/4, and or 4.25 depending on what form it wants.
x = 4/3 - 1/3y
Step-by-step explanation:
i'm sorry if it's wrong, i tried my best!
B: x > 7
C: x > 12
D:x < 7
Answers
x < 14/2
x < 7
D alternative
a. 1/12 or b. 1/4
please help !!
4 blue 2 green 6 red
P(blue then red)
without replacement
a. 2/11 or b. 1/6
PLEASE HELP YOU GUYS
Answers
Probability of rolling a cube and getting a 3 = 1/6 .
Probability of flipping a coin and getting HEADS = 1/2 .
Probability of both = (1/6) x (1/2) .
You do the multiplication.
4 blue, 2 green, 6 red
Probability of a blue on the first draw = 4 out of 12 marbles = 1/3 .
Without putting the blue back in ...
Probability of a red on the next draw = 6 out of 11 marbles = 6/11 .
Probability of both = (1/3) x (6/11) .
You do the multiplication.
Answers
The width of the rectangle is 4 inches.
What is perimeter of rectangle?
The formula for the perimeter of a rectangle is, P = length + breadth + length + breadth.= 2(length+ breadth)
Given: perimeter= 22 inches.
Let the width be 'b'
length= b+3
Perimeter of rectangle= 2(l+b)
22 = 2(b+3+b)
11= 2b+3
11-3=2b
8=2b
b=4 inches
So, length= b+3= 7 inches
Hence, the width of rectangle is 4 inches.
Learn more perimeter of rectangle here:
#SPJ2
one thing that may help is the use of diagrams. See the attached photo.
To solve you need two equations.
2w + 2L = 22
L = w + 3
2w + 2(w + 3) = 22
2w + 2w + 6 = 22
4w + 6 = 22
4w = 16
w = 4
L = w + 3
L = 4 + 3
L = 7
Answers
Answer:
Rewrite
27
as
3^2⋅3
Pull terms out from under the radical.
3(3√3)
Multiply 3 by 3
9√3
The result can be shown in multiple forms.
Exact Form:
9√3
Decimal Form:
15.58845726
…
Answer:
3
Step-by-step explanation:
To find x, we first look at the other the side of the equation that tells us how to figure it out, which, in this case, is by finding the cubed root of 27.
The cubed root of 27 is found through multiplying a certain number by itself three times to give 27, which is commonly known to be 3- which is our x value.
We can check this by multiplying 3 by 3 by 3, mentally or arithmetically.
3 by 3 is 9, and 9 by the final 3 is 27, therefore, 3 is for sure the answer, as cubing 3 gives us 27.
An alternative method we could also use is trial and error. We'd figure it out by trialling each number from one to see if it could present us with 27.
E.g: trialling 2 cubed.
2 by 2 is 4, and 4 by 2 is 8 therefore, it cannot be two as the value is much lesser than 27.
We would then move on to the next number, this being three, we'd trial 3 cubed.