Unit 15 Learning Check Review

What is the equation for this graph?

• y=2(5)^x

• y=2(4)^x

• y=3(2)^x

• y=2(3)^x

What would the value be at x=2?

y=700(1.05)^x

• 771.75

• 711.15

• 777.55

• 701.51

The table shows the value in dollars of a motorcycle at the end of x years.

Which exponential function models this situation?

• v(x) = 9,000(1.1)^x

• v(x) = 9,000(0.9)^x

• v(x) = 8,100(1.1)^x

• v(x) = 8,100(0.9)^x

Answer explanation

When you are given a table and the answer choices are equations, you can put each answer choice in y = and then press 2nd graph. Match the table with the equation.

Tags

AI.9.9.C

Find the equation of the exponential function represented by the table.

Find the equation of the exponential function represented by the table.

A chiropterologist is a scientist who studies bats. A bat colony is discovered and a chiropterologist calculates that there are 2,100 bats in the colony. If the population of the colony doubles each year, which function, B(t), describes the population of the colony t years after discovery?

In an exponential function, what does the 'a' represent? 

• SLOPE
• RATE OF CHANGE
• Y-INTERCEPT
• COMMON RATIO

Determine the exponential equation for the graph.

Find the common ratio: 4, -16, 64, -256, ...

• r = -4
• r = 2
• r = -2
• r = 4

Solving for the nth term of geometric sequence, given that a₁ = 1 and r= 2, what is the value of the 4th term?

• 2

• 8

• 4

• 16