Unit 4 Bingo Review

B

1

By what percentage is the equation y=7\cdot 0.83^x decreasing?

17

2

By what percentage is the equation y=2(1.23)^x increasing?

23

3

By what percentage is the equation y=700\cdot e^{0.06x} increasing?

6

4

By what percentage is the equation y=52\cdot e^{1.03x} increasing?

103

5

In the equation y=56\cdot e^{0.02x}, what is the y-intercept?

56

I

1

Rewrite 3^x=84 using logs

\log _3 84=x

2

Rewrite 8^x=34 using logs

\log _8 34=x

3

Rewrite e^x = 84  using logs

ln 84=x

4

Rewrite e^x=34 using logs

ln34=x

5

Rewrite 4^{3x}=8 using logs

log_4 8=3x

N

1

In the equation y=45(1.17)^x, what is the y-intercept?

45

2

The equation y=103\cdot e^{0.4x} represents the number of viewers on a youtube video, x weeks after it was posted. By what percentage are the views increasing each week?

40

3

The equation y=103\cdot e^{0.1x} represents the number of viewers on a youtube video, x weeks after it was posted. What x-value would we use to find the number of views after 4 days?

4/7

4

The expression 4(1.32)^x represents the total area, in square feet, of algae in a swimming pool x weeks after the owner stops cleaning it. How many square feet of algae were in the swimming pool on the day the owner last cleaned it?

4

5

A savings account has $500 when first opened and earns 3% interest each year. Complete the equation: y=500\cdot e^{?x}

0.03

G

1

What is log_2 32?

5

2

If 70=10(1.6)^x, complete the equation: log_1.6 ? = x

? = 7

3

If 24=8\cdot e^{0.5x}, complete the equation: ln (?) = 0.5x  

? = 3

4

If 18=3\cdot 1.2^x, complete the equation: log_? 6=x

? = 1.2

5

To solve the equation 5=2\cdot 1.23^x, we first need to divide both sides. What should we divide by? 

2

0

1

An exponential function includes the points (0, 4) and (2, 400). What is the growth factor of the function?

10

2

An exponential function includes the points (0, 1) and (2, 64). What is the growth factor of the function?

8

3

A function f(x) gives the number of bunnies living in a park after x days. What x-value would we use to find the bunny population after 5 hours?

5/24

4

Write an exponential function that has a y-intercept of 4 and grows by 5%.

y=4(1.05)^x

5

Write an exponential function that has a y-intercept of 4 and grows by 105%.

y=4\cdot e^{1.05x}