Which table represents a linear function?

Third Option

Step-by-step explanation:

We know that a function is linear if its slope or "rate of change" remains constant throughout the domain of the function.

A linear equation has the following formula:

where m is the constant rate of change.

So if

For any x value, it is always true that:

Notice that among the options given the only table where this is fulfilled is in the third table

m is constant. Therefore the function is linear

78.59 is the mean

step-by-step explanation:

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