A collector’s item is purchased for $150 and its value increases by 3% each year. Which graph can be used to determine approximately how many years it will take for the value to double?

The answer is b.

A is in the negatives, and there are no negative years.

B works ; it starts at 150, is positive, and slowly reaches 300

C is exponential and goes to fast.

D starts at 0 not 150

So the answer is b.

Hope this helps!

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facundo3141592 facundo3141592 · Answer 2 · 2022-01-26T16:14:26+01:00

We want to see which one of the shown graphs can be used to determine approximately how many years it will take for the value to double. The correct option is the second graph.

How to read an exponential growth equation?

It is not really needed, but let's write the exponential growth equation.

y = f(x) = $150*(1 + 3%/100%)^x

y = f(x) = $150*(1.03)^x

So you can see that when x = 0, the value is $150, as it should be.

Now, if we want the value to be doubled, then we need to look for:

y = f(x) = $300

And also remember that f(0) = $150, so the graph must intercept the y-axis at y = $150.

The only graph that meets both requirements is the second graph, so the correct option is B.

If you want to learn more about exponential equations, you can read:

https://brainly.com/question/2193820