The function v(t) = 8 * (2.5) ^ t -1 gives the value of a rare coin, in dollars, in year t. what does the value 8 particularly represent in the situation? (in the function, all of the equation t -1 is an exponent, not just t.)

a. the coin was worth $8 in year 1.
b. the coin increases in value b $8 each year.
c. in year 1, a total of 8 coins were in circulation.
d. each year, the coin is worth 8 times what it was worth the previous year.

i think it's a. but then again, when i think about it, i feel like it could be any of my answers.

Sometimes the easiest thing to do is test the hypotheses.

In order for A to be correct, when we plug 1 in for t, we should get 8.

2.5^(1-1) = 2.5 ^ 0 = 1, so yes. In year one, the coin is valued at $8.

We have our answer, but for kicks let's do the rest.

For B, if we pick the year 2, the value should then be 16.

2.5 ^ (2-1) = 2.5 ^ 1 = 2.5. 8*2.5 = 20.

For C, there is no reason to infer number of coins. It has nothing to do with the question being answered.

For D, we look at the answers to A and B again. Is B 8 times A?

So, the only answer which comes back correct is A.

c. 4 1/4 pounds

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step-by-step explanation: