4.2-4.4 Solving Exponential Word Problems

4.2-4.4 Solving Exponential Word Problems

Assessment

Flashcard

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSF.LE.B.5, HSF.BF.A.2, HSF.LE.A.2

+2

Standards-aligned

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the formula for continuous compound interest?

Back

A = Pe^(rt), where A is the amount of money accumulated after n years, P is the principal amount (the initial amount of money), r is the annual interest rate (decimal), and t is the time the money is invested for in years.

2.

FLASHCARD QUESTION

Front

How do you calculate the interest rate when given the principal, amount after time, and time period for continuous compounding?

Back

Rearrange the formula A = Pe^(rt) to solve for r: r = (1/t) * ln(A/P).

3.

FLASHCARD QUESTION

Front

What does the variable 'a' represent in the exponential function y = ab^x?

Back

In the equation y = ab^x, 'a' represents the initial value or the y-intercept of the exponential function.

Tags

CCSS.HSF.LE.B.5

4.

FLASHCARD QUESTION

Front

How do you determine the total amount paid on a loan with compound interest?

Back

Use the formula A = P(1 + r/n)^(nt) for loans with compound interest, where A is the total amount, P is the principal, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.

5.

FLASHCARD QUESTION

Front

What is the effect of increasing the compounding frequency on the total amount of interest earned?

Back

Increasing the compounding frequency results in more interest being earned, as interest is calculated and added to the principal more frequently.

6.

FLASHCARD QUESTION

Front

What is the growth rate of a population modeled by continuous exponential growth?

Back

The growth rate is expressed as a percentage and is used in the formula P(t) = P0 * e^(rt), where P0 is the initial population, r is the growth rate, and t is time.

7.

FLASHCARD QUESTION

Front

How do you calculate the future population of a growing bacteria culture using continuous growth?

Back

Use the formula P(t) = P0 * e^(rt), where P0 is the current population, r is the growth rate, and t is the time in the same units as the growth rate.

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