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).

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