The following question was part of a questionnaire: "Is your favourite drink:

Hot Chocolate
Tea
Cola
Lemonade
Fresh Orange Juice ?"

a) Describe one problem that exists with the question.

b) Design one question to replace this question, that would provide better information:

their favourite drink could be something else

Step-by-step explanation:

add other as another option and ask them to specify what their favourite drink is

a) The problem is that there's not a use of which

b)Which is your FAVORITE drink?

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2