Question

Activity 1: Write a mathematical model for each condition

Condition
Function model (Equation)
1. Square a number then, add 5.
x2+5
2. Divide a number by 10 then, subtract 2 from it.

3. Add 5 to the ratio of a number and 3.

x
0
1
2
3
4
f(x)
4
5
8
13
20
4.
f(x) = x2+4
x
1
4
5
8
10
f(x)
16
49
64
121
169
5.

Answer 1

For condition 2, dividing a number by 10 and then subtracting 2 from it can be represented as:

Function model (Equation): (x / 10) - 2

For condition 3, adding 5 to the ratio of a number and 3 can be represented as:

Function model (Equation): (x / 3) + 5

For condition 5, you provided the function model as f(x) = x^2 + 4, but it seems you didn't specify the x-values for which you want to calculate f(x). If you provide a range of x-values, I can calculate and list the corresponding f(x) values for you.