Identify which type of function best models the following scenarios.

Question

A sample of carbon starts with 128 grams and half of it decays every 5,730 years.



Marsha Opens a bank account and deposits $3500 into it each month without any withdraws.



Susan owns a bakery and charges $2.19 per pastry she sells.



Month Value, in Dollars
March 1000
April

1100
May 1210
June 1331




Time Height
0 10
1 9
2 6
3 1



A vehicle is purchased for $15,900 and depreciates in value by 12% each year.



Tickets Sold Revenue
21 $1450
23 $1525
25 $1600
27 $1675



Length, ft Area
3 15
4 24
5 35
6 48

Answer 1

1. Exponential function - A sample of carbon starts with 128 grams and half of it decays every 5,730 years.

2. Linear function - Marsha opens a bank account and deposits $3500 into it each month without any withdraws.

3. Linear function - Susan owns a bakery and charges $2.19 per pastry she sells.

4. Exponential function - Time Height data.

5. Exponential function - A vehicle is purchased for $15,900 and depreciates in value by 12% each year.

6. Linear function - Revenue vs. Tickets Sold data.

7. Quadratic function - Length, ft Area data.