Free Printable Bridge to College Math Unit 6 Task #21

1.

Jack is investing $5000 in an account that earns 4% interest compounded annually. Determine to the nearest month when the investment will be worth $8000. Which of the following would be the equation used to solve Jack's equations.

a)

5000= .04(x) + 8000

b)

8000= 1.04(x) + 5000

c)

8000= 5000(.04)^x

d)

8000= 5000(1.04)^x

e)

5000=8000(.96)^x

2.

Jack is investing $5000 in an account that earns 4% interest compounded annually. Determine to the nearest month when the investment will be worth $8000. Which Logarithms could be used to solve the following problem, Choose all that apply.

a)

$Log_{1.04}1.6=x$

b)

$Log_{1.04}\ x\ =1.6$

c)

$Log_{1.06}1.04=x$

d)

$\frac{Log\left(1.04\right)}{Log\ \left(1.6\right)}=x$

e)

$\frac{Log\ \left(1.6\right)}{Log\ \left(1.04\right)}=x$

3.

Jack is investing $5000 in an account that earns 4% interest compounded annually. Determine to the nearest year when the investment will be worth $8000.

(a)

4.

When Bev was born, her grandma invested $4000 in an account that earns 5% interest compounded annually. When will the account double in value? Choose all that apply.

a)

$2=1.05\left(x\right)+4000$

b)

$8000=1.05\left(x\right)+4000$

c)

$2=\left(1.05\right)^x$

d)

$8000=4000\left(5\right)^x$

e)

$4000=8000\left(1.05\right)^x$

5.

When Bev was born, her grandma invested $4000 in an account that earns 5% interest compounded annually. Which logarithms could you use to solve this problem?

a)

$Log_{1.05}\ 2\ =x$

b)

$Log_{4000}8000=2$

c)

$\frac{Log\left(2\right)}{Log\ \left(1.05\right)}=x$

d)

$\frac{Log\left(5\right)}{Log\left(2\right)}\ =x$

e)

$\frac{Log\ .05}{Log\ 2}=x$

6.

When Bev was born, her grandma invested $4000 in an account that earns 5% interest compounded annually. When will the account double in value, please enter your answer to the nearest tenth of a year

(a)

7.

You bought a wake board boat 4 years ago for $45,000. The boat’s value depreciates by 10% per year. (a) How much is it worth today? Which equation would be used to solve this problem?

a)

$f\left(x\right)=45000\left(.90\right)^4$

b)

$f\left(x\right)=45000\left(1.10\right)^4$

c)

$4=45000\left(1.10\right)^x$

d)

$45000=4\left(1.10\right)^x$

e)

$4=45000\left(.9\right)^x$

8.

You bought a wake board boat 4 years ago for $45,000. The boat’s value depreciates by 10% per year. How long until it is worth $20,000? Which equation could be used to solve this problem?

a)

$20000=45000\left(.9\right)^x$

b)

$45000=20000\left(1.1\right)^x$

c)

$20000=-.9\left(x\right)+45000$

d)

$45000=1.1\left(x\right)+20000$

e)

$20000=45000\left(.1\right)^x$

9.

You bought a wake board boat 4 years ago for $40,000. The boat’s value depreciates by 10% per year. How long until it is worth $20,000? Which logarithm would be used to solve this problem?

a)

$\frac{Log\ \left(.5\right)}{Log\ \left(.9\right)}=x$

b)

$Log_{.9}\left(.5\right)=x$

c)

$Log_2\left(1.1\right)=x$

d)

$\frac{Log\ \left(2\right)}{Log\ \left(.9\right)}=x$

e)

$\frac{Log\left(1.1\right)}{Log\ \left(2\right)}$

10.

You bought a wake board boat 4 years ago for $40,000. The boat’s value depreciates by 10% per year. How many years to the nearest tenth of a year will it take until it is worth $20,000

(a)

11.

You bought a wake board boat 4 years ago for $45,000. The boat’s value depreciates by 10% per year. (a) How much is it worth today to the nearest cent?

(a)

12.

The house down the street has termites in the porch. The exterminator estimated that there are about 800,000 termites eating at the porch. He said that the treatment he put on the wood would kill 40% of the termites every day. They cannot live in the house until the termite population is under 100,000. How many days must they live elsewhere? Which of the equations could be used to represent this problem?

a)

$100,000=800,000\left(.4\right)^x$

b)

$100,000=800,000\left(.6\right)^x$

c)

$\frac{1}{8}=\left(.6\right)^x$

d)

$8=\left(.4\right)^x$

e)

$\frac{1}{8}=\left(.4\right)^x$

13.

The house down the street has termites in the porch. The exterminator estimated that there are about 800,000 termites eating at the porch. He said that the treatment he put on the wood would kill 40% of the termites every day. They cannot live in the house until the termite population is under 100,000. How many days must they live elsewhere? Which logarithm would be used to solve this equation, choose all that apply.

a)

$Log_{.6}\left(\frac{1}{8}\right)=x$

b)

$Log_8\left(.6\right)=x$

c)

$Log_{.4}\left(\frac{1}{8}\right)=x$

d)

$\frac{Log\left(\frac{1}{8}\right)}{Log\ \left(.6\right)}=x$

e)

$\frac{Log\ \left(\frac{1}{8}\right)}{Log\ \left(.4\right)}=x$

14.

The house down the street has termites in the porch. The exterminator estimated that there are about 800,000 termites eating at the porch. He said that the treatment he put on the wood would kill 40% of the termites every day. They cannot live in the house until the termite population is under 100,000. How many days must they live elsewhere, enter your answer to the nearest tenth of a day?

(a)

15.

Your baby brother has an ear infection. The doctor said there are probably 50,000,000 bacteria in his left ear. The penicillin the doctor prescribed will kill 7% of the bacteria every 6 hours. He is contagious until there are fewer than 100,000 bacteria. How long until he is no longer contagious? Which of the following equations would be used to solve the amount hours until the baby is not contagious?

a)

$50,000,000=100,000\left(1.07\right)^x$

b)

$100,000=\left(50,000,000\right)\left(.07\right)^x$

c)

$100,000=50,000,000\left(.93\right)^{\frac{x}{6}}$

d)

$100,000=50,000,000\left(.93\right)^x\ \ \ Hours=6x$

e)

$100,000=50,000,000\left(1.07\right)^x\ Hours=\frac{x}{6}$

16.

Your baby brother has an ear infection. The doctor said there are probably 50,000,000 bacteria in his left ear. The penicillin the doctor prescribed will kill 7% of the bacteria every 6 hours. He is contagious until there are fewer than 100,000 bacteria. How long until he is no longer contagious? Which of the following logarithms would be used to solve the amount hours until the baby is not contagious?

a)

$Log_{.93}\left(\frac{1}{500}\right)=x$

b)

$Log_{.002}\left(.93\right)=x$

c)

$Log_{1.07}\left(500\right)=x$

d)

$\frac{Log\left(.93\right)}{Log\ \left(.002\right)}$

e)

$\frac{Log\ 500}{Log\ \left(1.07\right)}$

17.

Your baby brother has an ear infection. The doctor said there are probably 50,000,000 bacteria in his left ear. The penicillin the doctor prescribed will kill 7% of the bacteria every 6 hours. He is contagious until there are fewer than 100,000 bacteria. How long until he is no longer contagious, express your answer in DAYS to the nearest tenth!

(a)

18.

How are you feeling about creating equations and solving them using logarithms?

a)

I understand (ALL) of it

b)

I understand (Most) of it

c)

I understand (SOME) of it

d)

I understand (Little/None) of it

19.

How did you like using the Quizizz platform for your digital learning?

a)

It was great, I really liked the game and how I got instant feedback

b)

It was OK, the memes were lame but at least I know if I did the problem right

c)

I did not like it I would rather be doing this on paper

20.

Which of these skills you are having a hard time understanding?: Creating the exponential equation, translating it the equation into a logarithm, solving the question using the equation and the logarithm. Please list which skill(s) you would like more instruction on.

4 lines

Bridge to College Math Unit 6 Task #21

Total questions: 20

Worksheet time: 24mins

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