Unit 5 Check for Understanding (Exponential Functions)

Find the balance in the account after the given period.

$12,000 principal earing 4.8% compounded annually after 7 years.

• $3,243.19

• $16,661.35

• $15,243.19

• $4,661.35

Find the balance in the account after the given period.

$5000 deposit earning 1.5% compounded quarterly after 3 years

• $5,229.70

• $7,604.38

• $7,777.27

• $5,538.86

Find the balance in the account after the given period.

$13,500 deposit earning 3.3% compounded monthly after 1 year

• $13,611.38

• $14,898.84

• $13,537.13

• $13, 952.30

Your 6 year investment of $40,000 at 14% compounded quarterly is worth how much now?

• $928,488.27

• $49,170.21

• $91,333.14

• $51,333.14

Will deposits $1650 for three years at 3% interest, compounded daily. What is his ending balance?

• $1,700.25

• $4,056.85

• $2,103.87

• $1,805.38

The breaking strength, y, in tons, of steel cable with diameter d, in inches, is given in the table.

Write an exponential regression equation.

Round to the nearest hundredth

Mathematical Equivalence

ON

The breaking strength, y, in tons, of steel cable with diameter d, in inches, is given in the table.

Use the equation you got to predict how many tons a cable with a diameter of 5 inches could hold.

Mathematical Equivalence

ON

The accompanying table shows the number of bacteria present in a certain culture over a 5-hour period, where x is the time, in hours, and y is the number of bacteria.

 Using this equation you wrote, determine the number of whole bacteria present when x equals 6.5 hours.

Round to the nearest hundredth.

Mathematical Equivalence

ON

A science experiment involves periodically measuring the number of mold cells present on a piece of bread. At the start of the experiment, there are 50 mold cells. Each time a periodic observation is made, the number of mold cells triples. For example, at observation #1, there are 150 mold cells.

• y=50+150x

• y=50(3)^x

• y=150x

• y=50(1.3^x)

"Julie gets a pre-paid cell phone. Initially she has a $40.00 balance on the phone. Each minute of talking costs $0.15."

Linear or exponential?

• y=40x+.15

• y=40-.15x

• y=40(1.015)^x

• y=40+.15x

• y=40(.15)^x