Cedric bought a camera the year he started his job. The camera cost $41.40 at year 0. He notices the value of his camera decreases each year, at a rate of 8% per year.

Cedric sketches a graph of the situation.

Which statements are true?

Select each correct answer.



The graph has an x-intercept and a y-intercept.

The graph decreases from left to right.

The graph increases from left to right.

The graph has a y-intercept only.

The point (41.40, 0) is on the graph.

The point ​ (0, 41.40) ​is on the graph.

Respuesta :

Graph decreases from left to right
Graph has a y-intercept only
Graph contains point (0, 41.40)

Answer:

B, D and F are correct answer.

Step-by-step explanation:

Cedric bought a camera the year he started his job.

The camera cost $41.40 at year 0

The value of his camera decreases each year, at a rate of 8% per year.

Let C(x) be cost of camera after x years

It is exponential decay because cost of camera decrease per year.

Equation of given info

[tex]C(x)=41.40(1-0.08)^x[/tex]

[tex]C(x)=41.40(0.92)^x[/tex]

For x-intercept, put y=0

It is an exponential function. x-intercept doesn't exist.

For y-intercept, put x=0

(0,41.40)

It is decay exponential function.

x as increase, y as decrease

True statements are following:-

The graph decreases from left to right.

The graph has a y-intercept only.

The point ​ (0, 41.40) ​is on the graph.

Thus, B, D and F are correct answer.

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