Question

One day, Frankie and Gia each bought a new camera. The equation ​ f(x)=320(0.85)^x ​ represents the value of Frankie’s camera, in dollars, x years later. The table shows the value of Gia’s camera x years later.

Select from the drop-down menus to complete the statement.

When they made their purchases, (Frankie's or Gia's) camera was worth ($3, $24.50, $45, or $72.50) more than (Frankie's or Gia's) camera.

Plz hurry!!

Answer 1

1) Frankie's

2) $45

3) Gia's

Answer 2

When they made their purchases, Frankie's camera was worth $45 more than Gia's camera.

Explanation:

The value of Frankie’s camera is

`f(x)=320(0.85)^x`

where, x is the number of years after purchase.

The value of Frankie’s camera at the time of purchase is the initial value of the function.

Substitute x=0 in the above function.

`f(0)=320(0.85)^(0)`

`f(0)=320`

The value of Frankie’s camera at the time of purchase is $320.

From the given table it is clear that g(x)=275 at x=0. It means the value of Gia’s camera at the time of purchase is $275.

Difference between these two values is

$320 - $275 = $45

When they made their purchases, Frankie's camera was worth $45 more than Gia's camera.