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Sladkaya [172]
3 years ago
7

On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The numb

er b varies directly with the number a. For example b = 2 when a = –2. Which equation represents this direct variation between a and b?
Mathematics
2 answers:
Basile [38]3 years ago
7 0
The equation would be b = -a or a = -b

I hope this helps :)
Lady bird [3.3K]3 years ago
6 0

Answer:

b = -a

Step-by-step explanation:

Direct variation says that:

y \propto x then,

equation is in the form of:

y =kx where, k is the constant of variation.

As per the statement:

A number b varies directly with the number a.

by definition we have;

b = ka

Substitute b = 2 and a = -2 we have;

2 = -2a

Divide both sides by -2 we have;

-1 = k

or

k = -1

Then, equation we get; b = -a

Therefore, equation represents this direct variation between a and b is:

b = -a

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14.60

Step-by-step explanation:

Note that there are 100 centimeters in 1 meter. The plant is 13 meters tall, and grows 8 centimeter every month. It is asking you for 20 months worth (x = 20) of growth.

First, solve for the amount of centimeters total in 20 months:

8 centimeter per month x 20 months = 160 centimeters per 20 months.

Remember, there are 100 centimeters in every meter. Therefore:

160 centimeter/ 100 centimeters per meter = 1.60 meters.

Add the growth to the original height:

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14.60 meters is your answer.

~

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