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

Respuesta :

The function is [tex]c(x)=3 x^{2} -2x+10[/tex]

Initial investment is given when [tex]x=0[/tex], so substituting this into [tex]c(x)[/tex] we have

[tex]c(0)=3 (0)^{2}-2(0)+10 [/tex]
[tex]c(0)=10[/tex]

Hence, correct answer is B $10

Answer:

D) $10,000.

Step-by-step explanation:

We have been given a function [tex]c(x)=3x^2-2x+10[/tex], 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 [tex]x=0[/tex] in our given function.

[tex]c(0)=3(0)^2-2(0)+10[/tex]

[tex]c(0)=3*0-0+10[/tex]

[tex]c(0)=10[/tex]

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