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Linear, Quadratic, Exponential Applications

Total questions: 10

Worksheet time: 7mins

Name
Class
Date
1.

This is a _______________ function.

a)

Linear

b)

Exponential

c)

Quadratic

2.

This is a ________________ function.

a)

Linear

b)

Exponential

c)

Quadratic

3.

This is a _______________ function.

a)

Linear

b)

Exponential

c)

Quadratic

4.

Given the following real-world situation, determine which type of function would best represent it.

A 6 foot ice sculpture melting at a rate of 0.2 ft. per hour.

a)

linear

b)

quadratic

c)

exponential

growth

d)

exponential

decay

5.

Given the following real-world situation, determine which type of function would best represent it.

The population of Utopia is currently 7,000 and is growing 7% per year.

a)

linear

b)

quadratic

c)

exponential

growth

d)

exponential

decay

6.

Given the following real-world situation, determine which type of function would best represent it.

A softball is hit with a bat when it is 2.5 feet off the ground, then 0.5 seconds later reaches a maximum height of 12 feet.

a)

linear

b)

quadratic

c)

exponential

growth

d)

exponential

decay

7.

Given the following real-world situation, determine which type of function would best represent it.

The population of bacteria in your big toe began at 2000. Thanks to prescription foot cream, the population is halved every hour.

a)

linear

b)

quadratic

c)

exponential

growth

d)

exponential

decay

8.

Determine whether the situation described is linear, quadratic or exponential. Then, write the equation that models the situation.

The zombie population of Union is shown in the table.

a)

y = 6x + 2

b)

y=−8x2+16xy=-8x^2+16x  

c)

y=2(4)xy=2\left(4\right)^x  

d)

y=4(2)xy=4\left(2\right)^x  

9.

Determine whether the situation described is linear, quadratic or exponential. Then, write the equation that models the situation.

A fitness club charges a one-time registration fee, then a fixed amount per aerobics class. Kim paid $36 for 3 classes and $50 for 5 classes.

a)

y=17x−157y=\frac{1}{7}x-\frac{15}{7}  

b)

  y=−2531x2+97531x−270031y=-\frac{25}{31}x^2+\frac{975}{31}x-\frac{2700}{31}   

c)

  y=7x+15y=7x+15   

d)

  y=36(3)xy=36\left(3\right)^x   

10.

Determine whether the situation described is linear, quadratic or exponential. Then, write the equation that models the situation.

The area of a rectangle with a length that is three inches less than twice its width, w.

a)

A=2w−3A=2w-3   

b)

  A=2w2−3wA=2w^2-3w    

c)

  A=−3(2)wA=-3\left(2\right)^w    

d)

  A=−2(3)wA=-2\left(3\right)^w