Answer:
(10, 13)
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{8cm}\underline{Rate of Change Formula}\\\\Rate of change $=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are two coordinates.\\\end{minipage}}[/tex]
Given:
- (x₁, y₁) = (5, 11)
- Rate of Change = ²/₅
Substitute the given values into the formula and solve for (x₂, y₂):
[tex]\implies \dfrac{2}{5}=\dfrac{y_2-11}{x_2-5}[/tex]
Therefore:
[tex]\implies 2=y_2-11 \implies y_2=13[/tex]
[tex]\implies 5=x_2-5 \implies x_2=10[/tex]
Solution
The rate change between (5,11) and (10, 13) is 2/5.
