Steve opens a bank account. The amount, in dollars, in the account x weeks after the account is opened can be modeled by function f. If Steve has $5,000 in the account 20 weeks after the account is opened, which TWO of the following must be true?

Respuesta :

The missing options are:

[tex]A.\ f(20) =5,000[/tex]

[tex]B.\ f(5000) = 20[/tex]

C. In the xy plane, point (20, 5,000) is on the graph y = f(x).

D. In the xy plane, point (5,000,20) is on the graph y = f(x)

Answer:

[tex]A.\ f(20) =5,000[/tex]

C. In the xy plane, point (20, 5,000) is on the graph y = f(x).

Step-by-step explanation:

Given

Represent amount with y and weeks with x

So, we have:

x = 20 when y = 5000

Required

Select 2 correct options

A point on a graph can be illustrated using  [tex](x,y)[/tex]

So, when x = 20 and y = 5000 ----- given

[tex](x,y)[/tex] implies that:

[tex](x,y) = (20,5000)[/tex]

We got [tex](20,5000)[/tex] by substituting 20 for x and 5000 for y

From the list of given options, the above represented of (x,y) is illustrated in option C

Represent (x,y) as a function, we have:

[tex]y = f(x)[/tex]

Substitute values for x and y

[tex]5000 = f(20)[/tex]

Reorder

[tex]f(20) = 5000[/tex]

The above is illustrated in option A

Hence, A and C answers the question

Q&A Education