Does this table represent a function? why or why not?

 The correct option is

(A) No, because one x-value correspond to two different y-values.

Step-by-step explanation:  We are given to check whether the table represent a function or not.

From the table, we note that

the corresponding values of x and y in form of ordered pairs are

(x, y) = (2, 1), (2, 4), (3, 4), (4, 2) and (5, 5).

We know that a set of ordered pairs (x, y) represents a function of no value of x correspond to more than one one value of y.

But, in the given table, when the value of x is 2, then we are getting two different values of y, 1 and 4.

That is, one value of x correspond to two different values of y.

Thus, the given table DOES NOT represent a function, because one x-value correspond to two different y-values.

Option (A) is CORRECT.

ans789

step-by-step explanation:

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.