Question

We found that Juan’s investment account can be modeled by the function, c(x) = 7x2 - 6x + 5, in thousands of dollars. What was Juan’s initial investment?

$5
$10
$5,000
$10,000

Answer 1

initial investment was when x=0, when no change had occured

c(0)=7(0)^2-6(0)+5
c(0)=5

this is in thousands
5*1000=5000
answer is $5000 is initial

Answer 2

Option (a) is correct.

The Juan’s initial investment is $ 5

Explanation:

Given : Juan’s investment account can be modeled by the function,
`c(x)=7x^2-6x+5`, in thousands of dollars.

We have to find the Juan’s initial investment.

Since, Juan’s investment is modeled by function

`c(x)=7x^2-6x+5`

Since initial investment is when he start the investment and is given by when

x = 0

Thus,
`c(0)=7(0)^2-6(0)+5`

Simplify , we get,

c(0) = 5

Thus, the Juan’s initial investment is $ 5