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Natalka [10]
3 years ago
10

Which situation is most likely to have a constant rate of change?

Mathematics
1 answer:
lutik1710 [3]3 years ago
8 0

Answer: A. Ounces of water consumed compared with the number of same-size bottles drunk  



Step-by-step explanation:

When a quantity changes uniformly with respect to the change of other quantity, then we say there is a constant rate of change.

Thus, if one quantity is directly proportional to the other quantity then there is constant rate of change.

A. Ounces of water consumed is directly proportional to the number of same-size bottles drunk. Hence there is a constant rate of change of ounces water with respect to the number of same-sized bottles.

Rest of other options do not have directly proportionality relation between the quantities.

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USE A MODEL Olivia and her brother William had a bicycle race. Olivia rode at a speed
Anni [7]

Answer:

Let the total distance Aileen ran be 'x'

Let the distance ran by Andrew be 'y'

Refer to graph attached for graphical representation of distance travelled by both.

Applying the formula,

distance=speed*time

x=20*t      Equation  1

y= 15*t       equation 2

Since it can be easily understood by the graph attached, that

x=150+y  equation 3

Now putting values of x and y in equation 3

20*t =150 +15*t.

5t= 150

t=30 seconds.

putting the values of t in both the equation 1 and 2

x=20t

=20*30

x  = 600 feet

So the distance ran by Aileen is 600 feet, whereas Andrew ran 450 feet.

Step-by-step explanation:

Do not mind the names just change them. I had the same question before with different names so that is why. Hope this helps:)

7 0
2 years ago
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Aliun [14]
The best and the most correct answer among the choices provided by the question is the third choice. The table that best represents direct variation is:

<span>Input x 3 4 5
Output y 9 16 25

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8 0
3 years ago
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Jake and Erica were solving a system of equations. They both noticed that the two lines had the same slope. Jake said that becau
cluponka [151]
The correct answer is option A. Erica is correct in saying that the two lines are not necessarily the same and we should also look at the y-intercepts before determining how many solutions there were. <span>Two lines with equal slopes could be the same line, but only if they have the same y-intercept.</span>
3 0
3 years ago
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What is the slope of the line that passes the points(6,2) and (12,-2)​
Levart [38]
The slope is -2/3.

You have to do -2-2 and you get -4.
Then you do 12-6 and you get 6.
The final step is to do -4 divide 6 and you get -2/3.
5 0
3 years ago
A lake near the Arctic Circle is covered by a 2-meter-thick sheet of ice during the cold winter months. When spring arrives, the
Kaylis [27]

Answer:

The answer would be y-intercept and a point that is NOT an intercept

Step-by-step explanation:

To describe a point on the graph, we need a corresponding  

(x,y)(x,y)

(x,y)

left parenthesis, x, comma, y, right parenthesis

pair.

In our case, these are corresponding values of weeks since spring arrives and thickness of ice.

weeks since spring arrivedthickness of ice↓↓(x,y)\begin{aligned} \scriptsize\text{weeks since spring arrived}&\quad\scriptsize\text{thickness of ice} \\ \downarrow&\quad\downarrow \\ \large (x &,\quad\large y) \end{aligned}

weeks since spring arrived

↓

(x

​

thickness of ice

↓

,y)

​

To describe the slope of the graph, we need information about the rate of change of the relationship.

In our case, this is the rate at which the thickness of ice changes over time (in meters per week).

Hint #2

2 / 4

The ice is  

22

2

2

meters thick at the start of spring, when  

00

0

0

weeks have passed. This corresponds to the point  

(0,2)(0,2)

(0,2)

left parenthesis, 0, comma, 2, right parenthesis

and is a  

yy

y

y

-intercept.

Hint #3

3 / 4

After  

33

3

3

weeks, the sheet is only  

1.251.25

1.25

1, point, 25

meters thick. This corresponds to the point  

(3,1.25)(3,1.25)

(3,1.25)

left parenthesis, 3, comma, 1, point, 25, right parenthesis

and is not an intercept.

Hint #4

4 / 4

The  

yy

y

y

-intercept and a point that is not an intercept is given

7 0
3 years ago
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