13
QuizMultiple Choice

Modeling with Functions — Test

Question 13 • Algebra II

A factory produces 1 comma 250 comma 000 toys each year. The number of toys is expected to increase by about 150 percent per year. Which model can be used to find the number of toys, n (in millions), being produced in t years?

Answer
A
n is equal to the fraction with numerator 2 point 5 times 1 point 5 and denominator t , t is not equal to 0
B
n is equal to 1 point 5 t squared plus 1 point 2 5
C
n is equal to 1 point 5 t plus 1 point 2 5
D
n is equal to 1 point 2 5 times 2 point 5 to the t th power

Explanation

The factory initially produces 1,250,000 toys, which is 1.25 million, so the model starts with 1.25. An increase of 150% means the amount grows by 1.5 times its current value each year, giving a yearly growth factor of 1 + 1.5 = 2.5. Therefore, after t years the model is n = 1.25(2.5)^t, choice A.

AI-written and checked against the verified answer.

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