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ZanzabumX [31]
3 years ago
5

Travis is filling a bathtub with water. He made a table showing the number of gallons of water in the bathtub based on the numbe

r of minutes the faucet was on.
Which graph best shows the relationship between the number of minutes and the number of gallons?

Mathematics
2 answers:
AleksAgata [21]3 years ago
6 0
Lol another one?

So I looked at the graphs and the only one that actually even reaches 75 is the dotted one on the left. The one in the middle obviously doesn't go anywhere and the one on the right goes to 65, not 75.
Andru [333]3 years ago
5 0

Answer: Graph A (the one with the plotted dots)

Step-by-step explanation: The answer is the first graph because it is the only graph that corresponds with the function f(x) producing a linear plot with a positive slope of 8.3

The second graph probably explains a situation where the drain for the bathtub is unplugged so that the amount of water going into it is the same that leaves, no matter the length of time.

The third graph explains a gradual increase in the volume of water with increasing lengths of time.

At x = 3 mins; f(x) = 20

At x = 6 mins; f(x) = 40

At x = 9 mins; f(x) = 60

Giving it a positive slope of 6.6

Therefore, the first graph best shows the relationship between x and f(x).

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Pretty please help guys!!
nadezda [96]
For #1:

y = x + 4

Parallel lines have the SAME slope, this equation is in the form of y = mx + b, where 'm' is the slope. So the slope here is 1.

To find the equation of a line that passes through (2, 2) and has a slope of 1, we can plug it into point-slope form:

y - y1 = m(x - x1)

Where 'y1' is the y-value of the point, 'x1' is the x-value of the point, and 'm' is the slope.

y - 2 = 1(x - 2)

Distribute 1 into the parenthesis:

y - 2 = x - 2

Add 2 to both sides:

y = x

So your equation is y = x.
4 0
3 years ago
Read 2 more answers
Why do graphs sometime not have a line through them?
kondaur [170]
If they do not have a line of best fit this may be because there is no correlation
4 0
3 years ago
What is the formula for a sphere?
Anit [1.1K]
V=4/3 πr^3would be the formula
8 0
3 years ago
Read 2 more answers
Apply the square root principle to solve (x-5)^2-40=0
Nitella [24]

Answer: {5 ± 2√10, 5 - 2√10}

Step-by-step explanation: First isolate the binomial squared by adding 40 to both sides to get (x - 5)² = 40.

Next, square root both sides to get x - 5 = ± √40.

Notice that root of 40 can be broken down to 2√10.

So we have x - 5 = ± 2√10.

To get <em>x</em> by itself, add 5 to both sides to get x = 5 ± 2√10.

So our answer is just {5 ± 2√10, 5 - 2√10}.

As a matter of form, the number will always come before the

radical term in your answer to these types of problems.

In other words, we use 5 ± 2√10 instead of ± 2√10 + 5.

4 0
3 years ago
A ball is thrown into the air with a velocity of 34 ft/s. It's height in feet after t seconds is given by y=34t-26(t)^2. Find th
kkurt [141]

Answer:

The average velocity of the ball at the given time interval is -122.3 ft/s

Step-by-step explanation:

Given;

velocity of the ball, v = 34 ft/s

height of the ball, y = 34t - 26t²

initial time, t₀ = 3 seconds

final time, t = 3 + 0.01 = 3.01 seconds

At t = 3 s

y(3) = 34(3) - 26(3)² = -132

The average velocity of the ball in ft/s is given as;

V_{avg} = \frac{y(3.01)-y(3)}{3.01 -3}\\\\V_{avg} = \frac{34(3.01)-26(3.01)^2-y(3)}{3.01 -3}\\\\V_{avg} = \frac{-133.223-y(3)}{0.01}\\\\V_{avg} = \frac{-133.223-(-132)}{0.01}\\\\V_{avg} =\frac{-1.223}{0.01}\\\\V_{avg} = -122.3 \ ft/s

Therefore, the average velocity of the ball at the given time interval is -122.3 ft/s

8 0
3 years ago
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