0%
0 / 15 answered
Comparing Linear, Quadratic, Polynomial, Exponential Growth Practice Test
•15 QuestionsQuestion
1 / 15
Q1
An investment account starts at $\$10{,}000$.
- Plan L (linear growth): add $$800$ each year, so $L(t)=10000+800t$.
- Plan E (exponential growth): grow by 6% each year, so $E(t)=10000(1.06)^t$.
Based on the table, around what year does the exponential plan first exceed the linear plan?
$t$ (years) $L(t)$ $E(t)$ 5 14000 13382 10 18000 17908 11 18800 18983 12 19600 20122 15 22000 23966
An investment account starts at $\$10{,}000$.
- Plan L (linear growth): add $$800$ each year, so $L(t)=10000+800t$.
- Plan E (exponential growth): grow by 6% each year, so $E(t)=10000(1.06)^t$.
Based on the table, around what year does the exponential plan first exceed the linear plan?
| $t$ (years) | $L(t)$ | $E(t)$ |
|---|---|---|
| 5 | 14000 | 13382 |
| 10 | 18000 | 17908 |
| 11 | 18800 | 18983 |
| 12 | 19600 | 20122 |
| 15 | 22000 | 23966 |