Question

a) initial value 10
b) is the rate of change positive or negative?
i) positive
c) what is the rate of change of the function?
d) rate of change = \\(\frac{change\\ in\\ y\\ values}{change\\ in\\ x\\ values}\\)
\\(m = \frac{18 - 10}{1 - 0}\\)
\\(m = \square\\)

number of weeks, x	amount saved, y
1	18
2	20
3	25

Explanation:

Step1: Calculate the rate of change

We use the formula for rate of change \(=\frac{\text{change in }y\text{ values}}{\text{change in }x\text{ values}}\). Here, when \(x = 0,y = 10\) and when \(x=1,y = 18\).

$$ \frac{18 - 10}{1-0}=\frac{8}{1} $$

Answer:

\(8\)