Evaluate
Evaluate 800(2)t when t=2
3200
A new online music service has a collection of 800 songs. It expects to double the number of songs each year for the next few years.
Write an equation relating the n, the number of songs, to t, the number of years.
800(2)t
Which equation has the greatest growth factor?
5(2)t
5(8)t
5(3)t
5(4)t
5(8)t
A colony of bacteria in a dish is given by the equation a=500(2)t where t is the number of hours since the bacteria was first measured.
What does the 500 tell us?
the number of bacteria at the start
Evaluate 10,000(3)t when t=5
2430000
A new song has been streamed 10,000 times. It expects to triple the number of streams each week for the next few weeks.
Write an equation relating the n, the number of streams, to t, the number of weeks.
10,000(3)t
Which equation has the greatest growth factor?
12(2.2)t
12(4.1)t
12(6.2)t
12(5.4)t
12(6.2)t
In a biology lab, a population of parasites also reproduces hourly. The equation, p(t) = 100(3)t gives the number of parasites, p, after t hours.
What does the 100 tell us?
The number of parasites at the start
Evaluate 17,000( 2/3 )t when t=2
7555
In a biology lab, 500 bacteria reproduce by splitting. Every hour, each bacterium splits into two bacteria.
Write an equation relating the n, the number of bacteria, to t, the number of hours.
500(2)t
Which equation has the greatest growth factor?
20(3.1)t
18(2.2)t
35(5.5)t
3(7.1)t
3(7.1)t
A colony of bacteria in a dish is given by the equation a=500(2)t where t is the number of hours since the bacteria was first measured.
What does the 2 tell us?
The bacteria is growing by a factor of 2
Evaluate 17,000( 2/3 )t when t=-3
57375
A car costs $17,000. It loses 1/3 of its value each year after its purchase.
Write an equation relating the n, the value of the car, to t, the number of years.
17,000( 2/3 )t
Which equation has the greatest growth factor?
20(5.6)t
18( 3/5 )t
3(6.8)t
35( 2/3 )t
3(6.8)t
In a biology lab, a population of parasites also reproduces hourly. The equation, p(t) = 100(3)t gives the number of parasites, p, after t hours.
What would the value when t=-5 tell us?
The amount of parasites 5 hours before the start
Evaluate 88( 4/5 )t when t=-1
110
An algae bloom covers an area of 88 square feet. It is treated with a chemical, and loses 1/5 of its area each day after treatment.
Write an equation relating the n, the area of the algae, to t, the number of days.
88( 4/5 )t
Which equation has the greatest growth factor?
11(1/4 )t
9( 3/5 )t
78(9)t
200( 2/3 )t
78(9)t
In a biology lab, a population of parasites also reproduces hourly. The equation, p(t) = 100(3)t gives the number of parasites, p, after t hours.
What would the value when t=-3 tell us?
The amount of parasites 3 hours before the start