Linear
Linear Word
Exponential
Exponential Word
MIX
100
What is slope-intercept form.
y=mx+b
100
A taxi charges a $3 flat fee plus $2 per mile. A ride costs $17 total. How many miles was the ride?
7 miles
100
What is the equation for exponential growth and decay?
y=a(1+-r)^x
100
C : 30%
100
What type of function does the graph above represent?
Exponential Decay
200
Given the following equation, what is the slope?
y=4x-9
m=4
200
A phone plan charges $20 per month plus $0.10 per minute. Last month’s bill was $47. How many minutes were used?
270 minutes
200
Identify the Initial value and the Rate of the following equation.
y=100(1.45)^x
r=0.45 or45%
a=100
200
The function c(x) = 300(0.75)x models the cost of a video game system x years after it was released. How much did the video game system cost 2 years after it was released?
$168.75
200
Given the function below. Identify the growth factor.
f(x)=2500(1-0.56)^x
0.44
300
Write an equation in slope intercept form, given:
- Slope of -3
- y-intercept of 12
y=-3x+12
300
Gym A charges a $40 sign-up fee plus $30 per month. Gym B charges $50 per month with no sign-up fee. After how many months do the two plans cost the same?
2 months
300
What is the rate of the following equation:
y=525(0.63)^x
r=0.37 or 37 %
300
A colony of bacteria grows at a rate of 19% per hour. There are 25 bacteria present in a petri dish. How many bacteria will there be in 12 hours? Round to the nearest whole.
Write an equation and solve.
y=25(1.19)^x
x=12; y=201 or 202
300
C: 2.86
400
Given (3,10) and (-5, 90). What is the slope?
m=-10
400
An automobile mechanic uses the function y = 30x + 100 to estimate the cost of repairing a car, where x is the estimated number of hours the repair will require. What is the meaning of the slope of the graph of the function?
The Mechanic charges a per-hour rate of $30
400
Write an equation with with an initial value of 145, and increasing at a rate of 25.3%.
y=145(1+0.253)^x
400
A Critically endangered species of shark, the Great Hammerhead, has a current estimated population of 75,000. The population has decreased at a rate of approximately 8% year. If nothing changes, how many Great Hammerheads will there be in 50 years. Write an equation and round to the nearest whole.
approximately 1160 Sharks
y=75000(0.92)^x
400
Olaf drinks a soda that contains 120 mg of caffeine. Each hour, the caffeine in his system decreases by about 12%.
How long until he has 10 mg of caffeine?
In 4 hours how much caffeine will he have in his system?
19 hours for 10mg of Caffeine left.
In 4 hours, there is about 72mg of Caffeine.
500
Given (2,5) and (7, 25). Write and equation in slope intercept form that passes through the two points.
y=4x-3
500
$2.00
500
Write and equation with an initial value of 75. decreasing at a rate of 2.53%.
y=75(1-0.0253)^x
y=75(09747)^x
500
A certain mold can grow exponential at a rate of 7.5% per hour. If there are 20 spores observed, how many spores will there be in 2 days?
Write and equation and round to the nearest spore.
643 Spores
y=20(1.075)^x
500
Every time Pinocchio lies his nose grows about 20% of its size. Originally his nose is 2 inches long.
- Write an equation that models the situation.
-How long will his nose be after he tells 20 lies?
-How many lies would he have to tell before his nose Is longer than 3 ft?
About 76.7 inches
About 15/16 Lies