Question

The table below shows the amount of money, in hundreds of dollars, Cora has saved after different numbers of years:

Years (x) 1 2 3 4 5 6
Money (y) (hundreds of dollars) 10 20 30 40 50 60
Identify the function that represents Cora's savings and the amount that Cora will have saved in 8 years. (5 points)


A.y = x + 10, in 8 years she will have saved $1,800
B.y = x + 60, in 8 years she will have saved $6,800
C.y = 6x, in 8 years she will have saved $4,800
D.y = 10x, in 8 years she will have saved $8,000

Answer 1

D. y = 10x, in 8 years she will have saved $8,000.
Since every year Cora saves $1,000. So $1,000 × 8 = $8,000.

Answer 2

Hence, option (d) is correct.

Explanation:

We are given a table for the amount of money, in hundreds of dollars,

Cora has saved after different numbers of years:

Years(x) Money(y)(hundreds of dollars)

1 10

2 20

3 30

4 40

5 50

6 60

Clearly from the set of values in the table we see that the money is a function of years as: y=10x.

Hence Cora's savings and the amount that Cora will have saved in 8 years is given by the function y=10x and hence she will have saved $8,000.

Hence, option (d) is correct.