Linear and Exponential

Exponential

100

For the Equation y=3 x 4^x, evaluate x=2

y=48

200

The temperature of a dish t minutes after it is removed from the microwave, is given by T = 80 x (0.913)^{t o}c. 

Find the time taken for the temperature to reach 25^oc.

12.78 minutes or 12 minutes 47 seconds

300

8 pairs of rhinoceroses are introduced onto an Indonesian island. The expected population after n years is given by P =8 x (1.03)ⁿ

Find the expected population after 25 years

34 Rhinos

400

The population of turtles in a lake decreases by 7% each year. In 2005 there were 340 turtles in the lake.

State the function equation

P=340 x 1.07ⁿ

500

The population of turtles in a lake decreases by 7% each year. In 2005 there were 340 turtles in the lake.

How many turtles were in the lake in 2010?

477 Turtles

Linear

100

Find the x and y intercept

y=4x+12

Y-int=12

X-int= -3

200

find the x and y intercepts

y=3x-9

x intercept = 3

y intercept =-9

300

State the linear Equation

I am currently driving at 60km/h and every km I am increasing my speed by 5km/h

Km/h=5*km+60

400

Find the gradient for the two points provided

(5,7) and (10,22)

3

500

Find the Linear equation if i started with 40 oranges, but every 2 days I at 4 oranges

y=2x+40

Index Laws

100

b³ x b⁵

b⁸

200

b^-5/(a^-3c⁴⁾

a³/(b⁵c⁴)

300

(a³(b²)⁴)² x a⁴b^-2

a¹⁰b¹⁴

400

a⁰+8

9

500

Write as a fraction 5^-2

1/5² or 1/25