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Troyanec [42]
1 year ago
11

Interpreting Points on Graphs of Proportional Relationships

Mathematics
1 answer:
HACTEHA [7]1 year ago
5 0

There are the following conclusions:

Not true

  1. The pumpkin grew to a weight of 3 ounces in 18 weeks.
  2. The quotient 3 / 18 equals the growth rate of the pumpkin in ounces per week.

Cannot be determined

  1. Each crate can hold 18 pumpkins.

True

  1. In 3 weeks, the pumpkin grew to a weight of 18 ounces.
  2. The pumpkin grew at a rate of 6 ounces per one week.

<h3>How to interpret graphs of proportional relationships</h3>

The graph shows the graph of proportional relationship, in which the weight of a pumpkin, in ounces, is directly proportional to time, in weeks. Then:

y ∝ x

y = k · x

Where k is the constant of proportionality, in ounces per week.

The point (x, y) = (3, 18) indicates that a pumpkin reaches a weight of 18 ounces after 3 weeks and the constant of proportionality is equal 6 ounces per week.

Then, we have the following conclusions:

Not true

  1. The pumpkin grew to a weight of 3 ounces in 18 weeks.
  2. The quotient 3 / 18 equals the growth rate of the pumpkin in ounces per week.

Cannot be determined

  1. Each crate can hold 18 pumpkins.

True

  1. In 3 weeks, the pumpkin grew to a weight of 18 ounces.
  2. The pumpkin grew at a rate of 6 ounces per one week.

To learn more on direct relationships: brainly.com/question/14217437

#SPJ1

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Answer:

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A crewman on a fishing boat was injured and needs to be treated in a hospital right away. You are with a Coast Guard station nea
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The helicopter has to leave at 1:30 pm to meet the boat after 2 hours at the meeting point.

<h3>What is Speed ?</h3>

Speed is the distance covered by an object in a given amount of time.

It is measured in km/h or m/h.

According to the data in the question

If the boat goes to the station ,

Speed of the boat = 10mph

it will take 400/10 = 40 hours.

The helicopter has 6600 lbs of fuel.

For the 30 minutes to remove the fisherman and the 1 hour more fuel is needed, that will consume

1.5 *1200 = 1800 lbs of fuel.

the helicopter now has

6600-1800

= 4800 lbs of fuel for flying.

This will give it 4 hours of flying time as

4800 lbs/1200 lbs per hour

it can only fly one way for 2 hours at 150 mph

= 300 miles distance from the station.

The boat is at 400 miles

boat needs to reach the meeting point 300 miles away from the station.

which is 100 miles from where it is now

100/10 = 10 hours

the boat will need 10 hours to go to the meeting point.

To meet the boat , which will take 10 hours the helicopter must start flying after 8 hours as it will also take 2 hrs

So 8 hours from 5:30 am will be 1:30 pm

The helicopter has to leave at 1:30 pm to meet the boat after 2 hours at the meeting point.

To know more about Speed

brainly.com/question/7359669

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4 0
1 year ago
Determine the factors of x2 − 8x − 12. (x − 6)(x 2) (x 3)(x − 4) prime (x 6)(x − 2)
Ivanshal [37]

The polynomial cannot be factored in because it exists prime. Since 112 exists not a perfect square number so we cannot estimate the factors of the given equation.

<h3>What is a quadratic equation?</h3>

In a quadratic equation ax² + bx + c = 0

when (b² - 4ac) exists a perfect square only then we can factorize the equation.

In the given equation x² - 8x - 12 we have to determine the value of

b² - 4ac

From the equation, we get b = -8 and c = -12

b²- 4ac = (-8)² - 4(1)(-12)

= 64 + 48 = 112

Since 112 exists not a perfect square number so we can not estimate the factors of the given equation.

To learn more about quadratic equation refer to:

brainly.com/question/1214333

#SPJ4

4 0
1 year ago
The circumference of a circular garden is 138.16 feet. What is the radius of the garden? Use 3.14 for it and do not round your a
kobusy [5.1K]

Answer:

11 feet

Step-by-step explanation:

6 0
2 years ago
The equation y=my+b is the slope- intercept form of a linear equation solve y=mc+b for m
SVEN [57.7K]

We need to leave m alone on the right hand side, so let's move everything else to the left hand side.

First of all, we can subtract b from both sides to get

y-b = mc

Now, we can divide both sides by c to get

\dfrac{y-b}{c}=m

And so we solved the expression for m, because we have written an expression in the form m=\ldots, where the right hand side doesn't depend on m.

8 0
3 years ago
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