Question

Using technology, we found that Juan’s investment account can be modeled by the function, C(x) = 3x2 - 2x + 5, in thousands of dollars. What was Juan’s initial investment? $5 $10 $5,000 $10,000

Answer 1

The correct option is 3.

Explanation:

Juan’s investment account (in thousands of dollars) can be modeled by the function

`C(x)=3x^2-2x+5`

Put x=0, to find the Juan’s initial investment.

`C(0)=3(0)^2-2(0)+5`

`C(0)=5`

Juan’s initial investment is $5 (in thousands). It can be written as $5000.

Therefore the correct option is 3.

Answer 2

The value of the initial investment is given when x = 0, so substituting x = 0 into the function, we have

C(0) = 3(0)²-2(0)+5
C(0) = 5

The initial investment is $5