10
QuizMultiple Choice

Modeling with Sequences and Series — Unit test

Question 10 • 2025-2026 FBISD - Precalculus B (CR)

A certain company reported selling 5,000 toys during the month of January and expects sales to grow at a rate of 7.5% per month until the end of that year. How many toys should the company expect to sell by the end of June of that year?

Answer
A
30,158
B
36,220
C
43,937
D
64,500

Explanation

January sales are 5,000, and each following month’s sales are 7.5% higher than the month before. The six monthly amounts from January through June form a geometric series, totaling 5,000 × (1.075⁶ − 1) ÷ 0.075 ≈ 36,220 toys. The correct choice is 36,220.

AI-written and checked against the verified answer.

Previous
Next