Question

Please help me... this is my last question I'll give you 100 points...

the rate change between (5,11) and ______________ is 2/5

Answer 1

(10, 13)

Explanation:

`\boxed{\begin{minipage}{8cm}\underline{Rate of Change Formula}\\\\Rate of change $=(y_2-y_1)/(x_2-x_1)$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are two coordinates.\\\end{minipage}}`

Given:

• (x₁, y₁) = (5, 11)
• Rate of Change = ²/₅

Substitute the given values into the formula and solve for (x₂, y₂):

`\implies (2)/(5)=(y_2-11)/(x_2-5)`

Therefore:

`\implies 2=y_2-11 \implies y_2=13`

`\implies 5=x_2-5 \implies x_2=10`

Solution

The rate change between (5,11) and (10, 13) is 2/5.