Question 1

Which mathematical equation represents " the intensity ( $I$ ) of light produced by a light source varies inversely as the square of the distance ( $d$ ) from the source" ?

Accepted Answer

$I=\frac{k}{d^2}$

Answer

$I=\frac{k}{d^2}$

Answer

$I=\frac{k}{d^2}$

Answer

$I=\frac{k}{d^2}$

Question 2

The number of kilograms of water $I$ in a person's body is proportional to the person's body mass $\left(m\right)$ is translated as _______.

Accepted Answer

$I=\frac{k}{d^2}$

Answer

$I=\frac{k}{d^2}$

Answer

$I=\frac{k}{d^2}$

Answer

$I=\frac{k}{d^2}$

Question 3

Among the mathematical equations, which one illustrates direct variation?

Accepted Answer

$I=\frac{k}{d^2}$

Answer

$I=\frac{k}{d^2}$

Answer

$I=\frac{k}{d^2}$

Answer

$I=\frac{k}{d^2}$

Question 4

If $I$ varies directly as $d$ and $\left(m\right)$ =30 when $x$ =5, what is the constant of the variation?

Accepted Answer

$I=\frac{k}{d^2}$

Answer

$I=\frac{k}{d^2}$

Answer

$I=\frac{k}{d^2}$

Answer

$I=\frac{k}{d^2}$

Question 5

Which of the following graphs describe inverse variation?

Accepted Answer

https://uploads.quizalize.com/7c927fa1-c253-4c0e-ade6-d7c7d283f642/question/fb67910d9b6b10e90af436988bb2f8dc3677f698.png

Answer

https://uploads.quizalize.com/7c927fa1-c253-4c0e-ade6-d7c7d283f642/question/de4ac7d2d58fe1e454550c925da2575bd90d942d.png

Answer

https://uploads.quizalize.com/7c927fa1-c253-4c0e-ade6-d7c7d283f642/question/187d85f2a63408e70bc6bb71795c3b8eb9f504d1.png

Answer

https://uploads.quizalize.com/7c927fa1-c253-4c0e-ade6-d7c7d283f642/question/68f86b91f235da7857acd1a021788d33a0d7ca10.png

Question 6

Which mathematical equation describes an inverse variation?

Accepted Answer

$I=\frac{k}{d^2}$

Answer

$I=\frac{k}{d^2}$

Answer

$I=\frac{k}{d^2}$

Answer

$I=\frac{k}{d^2}$

Question 7

Choose the table of values that show direct variation.

Accepted Answer

https://uploads.quizalize.com/7c927fa1-c253-4c0e-ade6-d7c7d283f642/question/c5fdb4b00af1efd062554decf8eea2694292f591.png

Answer

https://uploads.quizalize.com/7c927fa1-c253-4c0e-ade6-d7c7d283f642/question/c95b09fc1fc6fe0e8e9e0efbfda8a59ae97f1ea3.png

Answer

https://uploads.quizalize.com/7c927fa1-c253-4c0e-ade6-d7c7d283f642/question/50aacf45e8f0eda88ae8ab000186137f2f530995.png

Answer

https://uploads.quizalize.com/7c927fa1-c253-4c0e-ade6-d7c7d283f642/question/d3181bf90e084e3a54f83b3067065cea660b3e72.png

Question 8

The table of values that describes inverse variation is _______.

Accepted Answer

https://uploads.quizalize.com/7c927fa1-c253-4c0e-ade6-d7c7d283f642/question/fc09de88ad728792a59f6ccb0daaf735284f5b4c.png

Answer

https://uploads.quizalize.com/7c927fa1-c253-4c0e-ade6-d7c7d283f642/question/6896958a9536c8864c68e09e60a58617c51afee0.png

Answer

https://uploads.quizalize.com/7c927fa1-c253-4c0e-ade6-d7c7d283f642/question/fa5ab38fbf558221ea234397bb9ab54f2bff41a8.png

Answer

https://uploads.quizalize.com/7c927fa1-c253-4c0e-ade6-d7c7d283f642/question/5ce9c31e7be7f2f7996ddb5531a401d1988049b3.png

Question 9

Which is best described by the table of values above?

Accepted Answer

https://uploads.quizalize.com/7c927fa1-c253-4c0e-ade6-d7c7d283f642/question/06fcf9936c5ba340e4de05ddc4ea01ab4513c53b.png

Answer

https://uploads.quizalize.com/7c927fa1-c253-4c0e-ade6-d7c7d283f642/question/d5756cc0a2bb923c637be4fe8d4600e5b4ef3b73.png

Answer

https://uploads.quizalize.com/7c927fa1-c253-4c0e-ade6-d7c7d283f642/question/694931cd97605dacc0a7a9a49729b88ab2807df8.png

Answer

https://uploads.quizalize.com/7c927fa1-c253-4c0e-ade6-d7c7d283f642/question/626b9e529540c3516a49b718b76a2600948a976a.png

Question 10

The graph shows that $I$ is inversely proportional to $d$ What do you think is the value of the constant of variation?

Accepted Answer

$I=\frac{k}{d^2}$

Answer

$I=\frac{k}{d^2}$

Answer

$I=\frac{k}{d^2}$

Answer

$I=\frac{k}{d^2}$

Question 11

The constant of variation is also known as the _______________.

Accepted Answer

constant of proportionality

Answer

constant of independent variable

Answer

constant of dependent variable

Answer

constant of change

Question 12

The variation statement " $I$ varies jointly as $d$ and $\left(m\right)$ " is translated in mathematical equation as ___________.

Accepted Answer

$I=\frac{k}{d^2}$

Answer

$I=\frac{k}{d^2}$

Answer

$I=\frac{k}{d^2}$

Answer

$I=\frac{k}{d^2}$

Question 13

Which of the following is the correct translation of the variation equation $I$ ?

Accepted Answer

$I=\frac{k}{d^2}$ varies directly as $y$ and inversely proportional to the cube of $z$

Answer

$I=\frac{k}{d^2}$ varies directly as $y$ and jointly as the cube of $z$

Answer

$I=\frac{k}{d^2}$ varies inversely as $y$ and jointly as the cube of $z$

Answer

$I=\frac{k}{d^2}$ varies jointly as $y$ and inversely as the cube of $z$

Question 14

The table of values shown is represented by the variation equation $I$ where $k=8$ in the 1st column. Compute $d$ when $\left(m\right)$ and $x$

Accepted Answer

$I=\frac{k}{d^2}$

Answer

$I=\frac{k}{d^2}$

Answer

$I=\frac{k}{d^2}$

Answer

$I=\frac{k}{d^2}$

Question 15

The table of values is described by the variation statement as " $I$ is directly proportional to $\left(m\right)$ and inversely as the square of $f$ . What is the mathematical equation and its constant of variation?

Accepted Answer

$I=\frac{k}{d^2}$

Answer

$I=\frac{k}{d^2}$

Answer

$I=\frac{k}{d^2}$

Answer

$I=\frac{k}{d^2}$

Question 16

Pair the mathematical equation to the appropriate translation.

Accepted Answer

linking:// $I$ |Direct Variation: $k=8$ |Inverse Variation: $d$ |Joint Variation: $\left(m\right)$ |Combined Variation

Question 17

The constant of variation $I$ in direct variation is the product of the first quantity by the second quantity.

Accepted Answer

boolean://False

Question 18

The distance ( $I$ travelled by a car within 3 hours varies directly as its speed $k=8$ . How would you describe the trend of the values in the table?

Accepted Answer

jumble://as, the, distance, increases, the, speed, also, increases.

Question 19

What is the variation equation for " $I$ varies jointly as $z$ and $z$ and inversely as $m$ if $k=12\$ and $m=3$ ?

Accepted Answer

$I=\frac{k}{d^2}$

Answer

$I=\frac{k}{d^2}$

Answer

$I=\frac{k}{d^2}$

Answer

$I=\frac{k}{d^2}$

Question 20

The constant variation $I$ in direct variation is computed as the quotient of the first quantity by the second quantity while in inverse variation, the constant variation $d$ is computed as the product of their quantities.

Accepted Answer

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