Properties of Exponents
x7*x2
x9
Express this number in standard notation: 2.0x103
2000
What is the initial value of this function? Y=500(4)x
500
What is the slope-intercept form of a linear equation?
y = mx +b
x4/x3
x1
Express this number in scientific notation: 350
3.50x102
What is the Y-intercept of this function? Y=1500(0.7)x
What is the standard form of an exponential equation?
y=abx
a-3
1/a3
(3x103)*(2x102)
(6x105)
Write the Exponential Equation for this scenario. Y is the total amount of money in your account, and X is the number of years since your account was opened. Your grandma opened up a savings account for you when you were born with $1000 in it. The account grows 4% interest each year, and no money is added or removed from the account.
y=1000(1.04)x
When you have this type of function, you are ADDING the same number for each independent variable
Linear
14*b0
14
(8x109) / (4x104)
Write the Exponential Equation for this scenario. Y is the total amount of medicine in the body, and X is the number of hours since the medicine was taken. A dog was given 500 mg of medicine at the vet's office. The medicine loses 40% potency every hour.
y = 500(0.60)x
When a TikTok video's view count goes "viral," it is represented with this type of function
Exponential
(2c3)4
16c12
(3x102) + (2x100)
3.02x102 or 302
Y is the total amount of money in your account, and X is the number of years since your account was opened. Your grandma opened up a savings account for you when you were born with $5000 in it. The account grows 1% interest each year, and no money is added or removed from the account. How many years will it take for the account to have $6000 in it?
Between 18 and 19 years
Compounded interest in a savings account is represented with this type of function
Exponential