On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. the number b varies directly with the number a. for example b = 2 3/4when a = –2 3/4. which equation represents this direct variation between a and b?

The direct variation says that:

Then the equation is of the form:

where k is the constant of Variation.

As per the statement:

A number b varies directly with the number a.

i.e

By definition of direct variation:

             .....[1]

if and

Substitute in [1] we get k;

Divide both sides by we get;

1 = -k

or

k = -1

⇒equation becomes: b = -a

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

i think it would be 43 movies that would have to be watched.

step-by-step explanation:

think about it. for the second plan, every month is 8 dollars. 8 x 12= 96. so thats the number for the second plan. now for the first plan, its annual meaning you have to pay 10 dollars every year. so now you have to get an equivalent amount of 86 since 96-10=86. 86 divided by 2 since every movie costs 2$ then you would have to watch 43 movies a year to get the same as the second plan. i really hoped this . have a wonderful day as well!

70.30

step-by-step explanation: