Question

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

A)$5
B)$10
C)$5,000
D)$10,000

Answer 1

D) $10,000.

Explanation:

We have been given a function
`c(x)=3x^2-2x+10`, which represents Juan’s investment account in thousands of dollars. We are asked to find Juan's initial investment.

To find Juan's initial investment, we will substitute
`x=0` in our given function.

`c(0)=3(0)^2-2(0)+10`

`c(0)=3*0-0+10`

`c(0)=10`

Since the function gives Juan's investment in thousands of dollars, so Juan's initial investment would be
`10* \$1,000=\$10,000`, therefore, option D is the correct choice.

Answer 2

The function is
`c(x)=3 x^(2) -2x+10`

Initial investment is given when
`x=0`, so substituting this into
`c(x)` we have


`c(0)=3 (0)^(2)-2(0)+10`

`c(0)=10`

Hence, correct answer is B $10