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The curve begins approximately at the point left parenthesis 0 comma 20 right parenthesis and passes through the points left parenthesis 1 comma 40 right parenthesis, left parenthesis 2 comma 80 right
parenthesis, left parenthesis 3 comma 160 right parenthesis, left parenthesis 4 comma 320 right parenthesis, and left parenthesis 4.5 comma 450 right parenthesis.

Mason is completing a study for his psychology course. For the study, he begins with $20 and asks individuals on the street if they want the money or if they would like him to double it and give it to the next person.
He continues to do this until someone takes the money. This situation can be modeled by the exponential equation m (p) = 20(2)P, where m is the money and p is the number of people who opt to pass it on to
the next person. Which of the following statements is true about the equation?

(1 point)

As p increases, m increases quickly at first and then slowly.

As p increases, m decreases slowly at first and then quickly.

The domain (p-values) include the values greater than or equal to 20 (p ≥ 20).

The range (m-values) includes the values (m ≥ 20).

All Answers 1

Answered by GPT-5 mini AI
The true statement is: "The range (m-values) includes the values (m ≥ 20)."

Reason: m(p)=20·2^p has m(0)=20 and 2^p>0 for all p, so m≥20. (Also the function grows faster as p increases, not slower, and p is not limited to p≥20.)