A company launches 4 new products. The market price, in dollars, of the 4 products after a different number of years, x, is shown in the following table:

Product Function Year 1

(dollars) Year 2

(dollars) Year 3

(dollars)

Product 1 f (x) = x3 1 8 27

Product 2 g (x) = x2 + 11 12 15 20

Product 3 h (x) = 4x 4 16 64

Product 4 j (x) = 4x + 8 12 16 20

Based on the data in the table, for which product does the price eventually exceed all others?

(A) Product 1

(B) Product 2

(C) Product 3

(D) Product 4

Question

Mathematics

Cailyn Munoz

22 December, 14:53

A company launches 4 new products. The market price, in dollars, of the 4 products after a different number of years, x, is shown in the following table:

Product Function Year 1

(dollars) Year 2

(dollars) Year 3

(dollars)

Product 1 f (x) = x3 1 8 27

Product 2 g (x) = x2 + 11 12 15 20

Product 3 h (x) = 4x 4 16 64

Product 4 j (x) = 4x + 8 12 16 20

Based on the data in the table, for which product does the price eventually exceed all others?

(A) Product 1

(B) Product 2

(C) Product 3

(D) Product 4

+4

Answers (1)

Know the Answer?

Baylee Hutchinson · Answer 1

Product Function Year 1 Year 2 Year 3

Product 1 f (x) = x³ 1 8 27

Product 2 g (x) = x² + 11 12 15 20

Product 3 h (x) = 4^x 4 16 64

Product 4 j (x) = 4x + 8 12 16 20

Product 3 exceeds the prices of other products. x is an exponent of 4, thus, the price increase is exponential.