Question

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?

Answer 1

The missing options are:

$A.\ f(20) =5,000$

$B.\ f(5000) = 20$

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:

$A.\ f(20) =5,000$

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  $(x,y)$

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

$(x,y)$ implies that:

$(x,y) = (20,5000)$

We got $(20,5000)$ 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:

$y = f(x)$

Substitute values for x and y

$5000 = f(20)$

Reorder

$f(20) = 5000$

The above is illustrated in option A

Hence, A and C answers the question