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Grade 11 Exponents CCSS: HSF-LE.A.2
Create an exponential function from the points (0, 2) and (2, 18).
  1. f(x)=2(3)x
  2. f(x)=3(2)x
  3. f(x)=2(9)x
  4. f(x)=18(13)x
Grade 11 Exponents CCSS: HSF-LE.A.3
The energy produced by two sources is modeled.
Source 1: E1(t)=10t+100 (MW)
Source 2: E2(t)=3t (MW). What is expected?
  1. Source 2 will always produce more energy.
  2. Source 1 will always produce more energy.
  3. Source 2 produces more initially, but Source 1 catches up.
  4. Source 1 produces more initially, but Source 2 produces more later.
Grade 11 Exponents CCSS: HSF-LE.A.3
A student is comparing two methods for earning points in an app. Method 1: P1(t)=10t+20. Method 2: P2(t)=2(2.2)t, where t is time spent. Which option below best describes what will happen?
  1. Method 2 will always yield more points.
  2. Method 2 will yield more points at first, but Method 1 will yield more in the end.
  3. Method 1 will yield more points at first, but Method 2 will yield more in the end.
  4. Method 1 will always yield more points.
Grade 11 Exponents CCSS: HSF-LE.A.3
A population of insects grows according to a linear model, and a population of bacteria grows according to an exponential model. Initially, the insect population is larger. What can be expected eventually?
  1. The insect population will always be larger
  2. The bacteria population will never catch up
  3. The populations will become equal and stay equal
  4. The bacteria population will eventually become larger
Grade 11 Exponents CCSS: HSF-LE.A.3
A computer scientist is analyzing two algorithms.
Algorithm A: Tα(n)=100n+500 (ms)
Algorithm B: Tβ(n)=2n(ms)
For very large n, what is expected?
  1. Algorithm A will always run faster.
  2. Algorithm B will always run faster.
  3. Algorithm B will run faster for small n, but Algorithm A will be faster for large n.
  4. Algorithm A will run faster for small n, but Algorithm B will be faster for large n.
Grade 11 Exponents CCSS: HSF-LE.A.3
The area covered by a spreading ink spill is I(t) = 10t + 5 (cm²). The area covered by a growing crystal is C(t)=0.1•(3)t (cm²). Will the ink always cover a larger area?
  1. No, the crystal will eventually cover a larger area.
  2. Yes
  3. They will always cover the same area.
  4. It depends on the time t.
Grade 11 Exponents CCSS: HSF-LE.A.3
The number of books sold for two genres is predicted.
Genre A: A(t) = 100t + 500
Genre B: B(t)=50(2)t. Which statement will hold true?
  1. Genre B will always sell more books.
  2. Genre A will always sell more books.
  3. Genre B sells more at first, but Genre A catches up.
  4. Genre A sells more at first, but Genre B sells more later.
Grade 11 Exponents CCSS: HSF-LE.A.3
The light intensity from two different light sources is measured as distance increases.
Source A: Iα(d)=1000d2(lux)
Source B: Iβ(d)=1000(0.8)d(lux)
At very large distances, which is true?
  1. Source A will always have greater intensity.
  2. Source B will always have greater intensity.
  3. Source A has greater intensity at close range, but Source B has greater intensity at large distances.
  4. Source B has greater intensity at close range, but Source A has greater intensity at large distances.
Grade 11 Exponents CCSS: HSF-LE.A.3
The number of supporters for two political candidates is estimated.
Candidate 1: S1(d)=200d+1000
Candidate 2: S2(d)=100(1.8)d. Which is true during the campaign?
  1. Candidate 2 will always have more supporters.
  2. Candidate 1 will always have more supporters.
  3. Candidate 2 has more initially, but Candidate 1 catches up.
  4. Candidate 1 has more initially, but Candidate 2 gains more later.
Grade 11 Exponents CCSS: HSF-LE.A.3
The intensity of Source V is Iv(x)=1000e-0.01x. The intensity of Source W is Iw(x)=1000x+1². After 100 meters, which source has a higher intensity?
  1. Both sources will be completely attenuated.
  2. Source V will have a higher intensity.
  3. Source W will have a higher intensity.
  4. The intensities will be equal.
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