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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:

slope=6/5

Step-by-step explanation:

The formula for finding the slope is y1-y2/x1-x2=slope. So if we substitute in the numbers from you question, it would be (-3-3)/(-2-3)=slope

(-3-3)/(-2-3)=slope

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A company manufactirung snowboards has fixed costs of $200 per day and total cost of $3800 per day at a daily output of 20 board
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A. The cost per 20 boards is 3800. so each board costs 3800/20 or $190. So the cost equation is C(x) = 200 + 190x

B. Divide the cost function by x. C(x)/x = 200/x + 190

C. The graph will be a curve that starts at (1,390) and curves down and to the right. Your last point will be at (30, 200/30+190) Your asymptote will be the horizontal line at 190 because as x tends to infinity, the term 200/x goes to zero. (There is also a vertical asymptote at x = 0 because you can't divide by zero, but your graph won't include x=0)

D. The average cost tends to 190 which was your horizontal asymptote.
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(will give brainliest!)
Flura [38]

Answer:

D) cot(C) = 1/2.

Step-by-step explanation:

We can go through each choice and examine is validity.

Choice A)

We have:

\displaystyle \sec B=\frac{3}{7}

Recall that secant is the ratio of the hypotenuse to the adjacent.

With respect to B, the adjacent is 6 and the hypotenuse is 7.

Therefore, sec(B) should be 7/6 instead.

A is incorrect.

Choice B)

We have:

\displaystyle \cot B=\frac{3}{2}

Cotangent is the ratio of the adjacent side to the opposite.

With respect to B, the adjacent side is 6 and the opposite side is 3.

Therefore, cot(B) = 6/3 = 2.

B is incorrect.

Choice C)

C is incorrect for the reasons listed in A.

Choice D)

We have:

\displaystyle \cot C=\frac{1}{2}

Again, cotangent is the ratio of the adjacent side to the opposite.

With respect to C, the adjacent side is 3 and the opposite side is 6.

So, cot(C) = 3/6 = 1/2.

Therefore, D is the correct choice!

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