Question

A student was given two data sets, set a and set b. which of the following statements is true?

Answer 1

The answer is A. you can tell that set B is growing at a fast rate. and it overtook set A.

Answer 2

Option A.

Explanation:

Set A.

x -1 0 1 2 3

y 50 75 100 125 150

Difference in each successive term of x = 1 - 0 = 1

Similarly difference in successive term of y = 75 - 25 = 50

So there is a common difference of 50 in each successive term of y.

We conclude that set A is a linear function.

Set B

x -1 0 1 2 3

y 0.60 3 15 75 375

With a continuous increase of x there is a common ratio in successive terms

of y.

Common Ratio =
`(3)/(0.6)=(15)/(3)=5`

Therefore, this set represents an exponential function.

Since rate of increase in values of exponential function is faster than a linear function, values of set B is increasing faster.

Therefore, Option A is the correct option.