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
PtichkaEL [24]
2 years ago
6

Ann is adding water to a swimming pool at a constant rate. The table below shows the amount of water in the pool after different

amounts of time.
Time (minutes) 8, 12, 16, 20
Water (gallons) 153,197,241,285

Answer the following questions.


Choose the statement that best describes how the time and the amount of water in the pool are related. Then give the value requested.

As time increases, the amount of water in the pool decreases.

gallons per minute

As time increases, the amount of water in the pool increases.

gallons per minute

(b)How much water was already in the pool when Ann started adding water?
gallons

Mathematics
2 answers:
s2008m [1.1K]2 years ago
8 0

#a

Take 2 points

  • (12,197)
  • (16,241)

Slope=Rate of water flow

  • m=241-197/16-12
  • m=44/4
  • m=11

The water increases with respect to time as slope is positive.

It's

  • 11gallons/min

#2

We need amount of water when time is 0

So

Let that be y and point is (0,y) and comaparing with (8,153)

  • 153-y/8=11
  • 153-y=88
  • y=153-88
  • y=65gallons
N76 [4]2 years ago
3 0

Answer:

(a)  As time increases, the amount of water in the pool increases.

     11 gallons per minute

(b)  65 gallons

Step-by-step explanation:

From inspection of the table, we can see that <u>as time increases, the amount of water in the pool increases</u>.

We are told that Ann adds water at a constant rate.  Therefore, this can be modeled as a linear function.  

The rate at which the water is increasing is the <em>rate of change</em> (which is also the <em>slope </em>of a linear function).

Choose 2 ordered pairs from the table:

\textsf{let}\:(x_1,y_1)=(8, 153)

\textsf{let}\:(x_2,y_2)=(12,197)

Input these into the slope formula:

\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{197-153}{12-8}=\dfrac{44}{4}=11

Therefore, the rate at which the water in the pool is increasing is:

<u>11 gallons per minute</u>

To find the amount of water that was already in the pool when Ann started adding water, we need to create a linear equation using the found slope and one of the ordered pairs with the point-slope formula:

y-y_1=m(x-x_1)

\implies y-153=11(x-8)

\implies y-153=11x-88

\implies y=11x-88+153

\implies y=11x+65

When Ann had added no water, x = 0.  Therefore,

y=11(0)+65

y=65

So there was <u>65 gallons</u> of water in the pool before Ann starting adding water.

You might be interested in
7th grade Ms. Takemoto wants to raise her math grade to a 95 to improve her chances of winning a math scholarship. Her math aver
malfutka [58]
No, 15% of 81 is 12.5 and 81+12.5 is only 93.5 and she needs at least a 95
8 0
3 years ago
What is five squared​
prisoha [69]

Answer:

if you mean cubed its 125 but if you mean squared its 25

Step-by-step explanation:

6 0
3 years ago
Complete this sentence 10x^3a+6xa^2=2xa(______)
alexira [117]
Answer: 5x² + 3a

Explanation:
10x^3a+6xa^2=2xa(5x^2 + 3a)
3 0
3 years ago
Read 2 more answers
What is 0.9 written as a fraction in simplest form
mart [117]
9/10 would have to be correct answer <span />
3 0
3 years ago
Read 2 more answers
What is the sum of the measures of interior angles ofna regular polygon if each exterior angle measures 72°?
WARRIOR [948]
We know that

The exterior angle measures of a polygon must add up to 360°, 

therefore

 360°/72°=5 exterior angles

so

5 exterior angles, would mean 5 interior angles and therefore  5 sides to the polygon

The exterior angle and the interior angle of any polygon are supplementary and must add up to 180°.

exterior angle+interior angle=180°

interior angle=180°-exterior angle

interior angle=180°−72°-------> 108°
Each interior angle is 108°

The sum of the interior angles would be 

5*108°=540°

the answer is

540°

5 0
3 years ago
Other questions:
  • A spherical fish bowl is half-filled with water. The center of the bowl is C, and the length of segment AB is 16 inches, as show
    8·2 answers
  • ASAP NEED ANSWERS FOR BOTH QUESTIONS PLEASE :)
    9·1 answer
  • Point A is located at (-4,9) on the coordinate plane. Point B is located at (-4,-7). What is the distance between point A and po
    10·1 answer
  • How can 563*10 to the 3rd power be scientific notation.(Use the photo above please)
    9·1 answer
  • which equation represents this sentence? one-half the sum of a number and four is three less than the quotient of five and the n
    9·2 answers
  • B<br> If Ryan gives z of his 48 cards to Josiah, how many cards does he give Josiah?
    7·1 answer
  • NEED ANSWER ASAP. WILL MARK THE BRAINLIEST
    9·2 answers
  • . In New York State, 48% of all teenagers own a skateboard and 39% of all teenagers own
    6·1 answer
  • Which statement best describes parallel lines?
    11·1 answer
  • Determine the relative order of the metric prefixes of kilo-, micro-, centi-, and milli-.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!