Question

A company launches two new products. The market price, in dollars, of the two 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 g(x) = 2x 2 4 8 Product 2 h(x) = x2 + 12 13 16 21 Based on the data in the table, for which product does the price eventually exceed all others, and why? Product 1, because it has a lower start value Product 2, because it has a greater Year 3 value Product 1, because the function is exponential Product 2, because the function is exponential

Answer 1

Answer:

Product 1, because the function is exponential.

Step-by-step explanation:

If you take set the equation to 9 years. You will see that product one would be 2^9 = 512 and Product 2 would be 9^2 + 12 = 93. Product one will continue to grow exponentially while Product two will not grow as much in comparison.

Answer 2

Answer:

Product 1, because the function is exponential

Step-by-step walk-through of options:

D) Product 2, because it has a greater Year 3 value x

It very clearly does NOT have a greater Year 3 value.

C) Product 1, because it has a greater start value x

It very clearly does NOT have a greater start value.

B) Product 2, because the function is exponential x

At first glance, this is a possibility. Just input the functions into a graph to be sure.

A) Product 1, because the function is exponential √

Product 1 clearly has an exponential function. Just by looking at the rapid increase on the table, it should be clear. Still have doubts? Just input the functions into a graph to be sure.

Just took the test.