Growth and Decay
Exponential Properties
Systems of Equations
Word Problems
Grab Bag
100
What is the growth or decay factor of the exponential function below?
y=a(b)^x
y=1(1.35)^x
what is 1.35.
100
2^5/2^2
what is
2^3 or 8
100
what is the solution for the systems of equations:
y=1/3x+1
y=4x-10
what is (3,2)
100
The cost of a ride for an Uber is $13 per mile, and an initial fee of $17. How much will it cost if the location you wish to go to is 5 miles away?
It costs $82 to Uber to a location that is 5 miles away.
100
How much will there be in 36 days?
73 squares
200
What is the growth or decay factor of the function:
f(x)= 1.7 (3.46)x
What is 3.46 is the Growth factor of this function
200
Simplify:
(4^2)^5
What is
4^10 or 1,048,576
200
Write the equations in y=mx+b with one solution (-6,-4).
what is
x+2y=-14. or y = -7 - x/2.
y=2x+8
200
A population of bacteria doubles every 3 hours. If there are initially 500 bacteria, how many will there be after 12 hours?
After 12 hours there will be 8,000 bacteria.
500+500=1,000
1,000+1,000=2,000
2,000+2,000=4,000
4,000+4,000=8,000
200
Is this equation linear or exponential?
y=2/3x+7
what is linear equation.
300
Is it a growth or decay exponential function, in graph form?
f(x)=6(0.367)x
What is a decay.
300
Simplify:
2^3*2^0
What is 8.
300
what is the solution to these system of equations
x+4y=12
7x+8y=64
what is (8,1)
300
Katie has 3 times more sweets than James. If they have 36 sweets all together. How many sweets do they each have?
3x+x = 36
x = 9
Katie has 27 sweets and James has 9 sweets.
300
2x+3=5x-7
Solve this equation.
what is
10/3
400
what is the the value of b? Is it a growth or decay factor?
5(1/2)^.07
What is
b = 1/2 and is a decay factor.
400
How can I apply the power property to simplify expressions involving exponents?
what is multiply the exponents.
400
what is the solution to this system of equation
y=3/4x+6
x+4y=8
what is (-4,3)
400
A certain investment grows at an annual rate of 6%, if you invest $1000. How much will the investment be worth after 10 years?
A=P×(1+r)t
Where:
- A is the future value of the investment,
- P is the principal amount (initial investment),
- r is the annual interest rate (expressed as a decimal),
- t is the time the money is invested for in years.
The investment after 10 years will approximately be $1790.85.
A=1000×(1+0.06)10
400
uber plan
cost is 13$ per mile and your initial fee is 17$ . How much will the cost be for driving 5 miles to your designated area?
what is $82
500
Is this function increasing or decreasing?
f(x)=4*2(7/3)^x
What is Increasing Function?
500
(3^-2)^3/3^1
What is
1/3^7 or 3^-7 or 0.000457247
500
Kevin gets a uber that cost $10 and a fee of $3 per mile, while Adam gets a lyft for $15 and a fee of $2 per mile. Solve for b and m while making a y=mx+b for both equations.
Kevin Adam
b=10 b=15
m=3 m=2
y=3x+10 y=2x+15
500
A tree grows at a rate of 5% per year. Ff the tree is currently 10 feet tall. What will the height be after 4 years?
Whats is:
The tree height after 4 years will approximately be 12.16 feet tall.
500
how does the graph of
y=x^2
change when you shift 3 units up?
y=x^2+3