Exponential Functions Mock Tests

12 questions available

Exponential Functions Mock Test 1

Questions: 12

Sample Questions

SAT SAT Math

A bacterial culture doubles in size every 3 hours. If the initial population is 500 bacteria, which of the following functions represents the population P after t hours?

A P(t) = 500 × 2^(t/3)

B P(t) = 500 × 3^(t/2)

C P(t) = 500 + 2^(3t)

D P(t) = 1000 × 2^t

SAT SAT Math

A population of bacteria doubles every 20 minutes. If the initial population is 500, what will the population be after 2 hours?

A 16,000

B 24,000

C 32,000

D 48,000

SAT SAT Math

If log₁₀(1000) = x, what is the value of x?

A 2

B 3

C 4

D 10

SAT SAT Math

A population of bacteria doubles every 4 hours. If the initial population is 1,000, what will the population be after 20 hours?

A 8,000

B 16,000

C 32,000

D 64,000

SAT SAT Math

A town's population grows exponentially at a rate of 5% per year. If the current population is 10,000, which of the following functions best represents the population P after t years?

A P(t) = 10,000 × (1.05)ᵗ

B P(t) = 10,000 + 0.05ᵗ

C P(t) = 10,000 × 1.05 × t

D P(t) = 10,000 × (0.05)ᵗ

SAT SAT Math

A population of bacteria grows exponentially according to P(t) = 1000 × e^(0.05t), where t is in hours. What is the approximate population after 10 hours?

A 1,500

B 1,650

C 1,800

D 2,000

SAT SAT Math

A virus doubles its population every 20 minutes. If the initial population is 100, what will the population be after 2 hours?

A 1200

B 3200

C 6400

D 12800

SAT SAT Math

If 2ⁿ = 64, what is the value of 2ⁿ⁺²?

A 128

B 192

C 256

D 288

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