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Common Core Standard HSF-LE.B.5 Questions

Interpret the parameters in a linear or exponential function in terms of a context.

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Grade 11 Functions and Relations CCSS: HSF-LE.B.5
A student is reading a book at a constant pace. The number of pages read is modeled by P(h)=20+30h, where h is time in hours. What does the number 30 represent?
  1. The number of pages in the book.
  2. The total reading time.
  3. The initial number of pages read.
  4. The student's reading speed.
Grade 11 Exponents CCSS: HSF-LE.B.5
Grace is a biologist modeling animal population decline. She uses [math]A(t) = 900e^(-0.06t)[/math] for a species, with t in years. New conservation efforts slow the decline. Which function shows the improved scenario?
  1. [math]A(t) = 900e^(-0.04t)[/math]
  2. [math]A(t) = 900e^(-0.07t)[/math]
  3. [math]A(t) = 880e^(-0.06t)[/math]
  4. [math]A(t) = 920e^(-0.06t)[/math]
Grade 9 Functions and Relations CCSS: HSF-LE.B.5
Shawn put some money into an account that earns simple interest according to the function [math]A(t) = 1000*(1+0.015t)[/math], where [math]A[/math] is the amount of money in the account after [math]t[/math] years. What does the value 1,000 represent?
  1. The total value of money in the account after [math]t[/math] years.
  2. The interest earned after [math]t[/math] years.
  3. The initial investment.
  4. The interest rate, as a percent.
Grade 11 Functions and Relations CCSS: HSF-LE.B.5
Maria sells handmade necklaces online. Her total monthly cost in dollars is modeled by the function C(n) = 4n + 50, where n is the number of necklaces she makes. Which TWO of the following statements are correct?
  1. Maria's monthly costs are always exactly $54.
  2. It costs Maria $4 to make each necklace.
  3. Maria has $50 in fixed costs each month.
  4. Maria must sell at least 13 necklaces to make a profit.
Grade 11 Exponents CCSS: HSF-LE.B.5
In an alien civilization, the understanding of human music grows exponentially with each transmission. Comprehension units are modeled by [math]A(t) = 12 · 6^t[/math], where t is the number of transmissions. What does the base 6 represent?
  1. The initial comprehension level
  2. The number of transmissions
  3. The comprehension growth factor per transmission
  4. The total comprehension after all transmissions
Grade 11 Functions and Relations CCSS: HSF-LE.B.5
A yoga instructor teaches classes at a studio. Her monthly income in dollars is modeled by the function [math]I(c) = 30c + 200[/math], where c is the number of classes she teaches. Which TWO of the following statements are correct?
  1. The instructor's income for teaching 10 classes is $230.
  2. The instructor must teach at least 7 classes to earn any income.
  3. The instructor earns $30 for each class she teaches.
  4. The instructor receives $200 per month regardless of how many classes she teaches.
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