Question

What is the rate of change and initial value for Neil’s business and write and equeation for it

Answer 1

It is 1/8 divided by 8

Answer 2

Answer: $50 per year, y = 50x + 1200

Step-by-step explanation:

The rate of change is the slope of the two coordinates (0, 1200) & (3, 1350). Note that 2005 is represented as 0 years since the company started and 2008 represents 3 years since the company started.  

Use the slope formula: $\dfrac{y_2-y_1}{x_2-x_1} = \dfrac{1350-1200}{3-0}=\dfrac{150}{3}=\ 50 \text{ per year}$

To write the equation in slope-intercept form, input a point (x₁, y₁) and the slope (m) into the Point-Slope formula: y - y₁ = m(x - x₁) and solve for y

y - 1200 = 50(x - 0)

y - 1200 = 50x

          y = 50x + 1200 ; where x represents the number of years the

                                      company has been in business.