Question

The graph below shows the number of houses sold over x days. What is the average rate of change from day 2 to day 10

Answer 1

The average rate of change from day 2 to day 10 is -0.75 houses per day

Step-by-step explanation:

To solve this problem, we should know that have been given a non-linear curve.

The average rate of change for a linear curve is the slope of the line joining the two points.

In this case, a tangent line touching both points would be used on the curve.

We draw a line joining the curve at day 2 and day 10 and we can estimate the slope.

Average rate of change = $\frac{Change in y}{change in x}$

Change in y is the function of change in the number of households between day 2 and day 10

Change in x is a function of changes in the number of days.

The coordinate of the tangent:

  at day 2:  (2,8)

  at day 10: (10,2)

 Average rate of change = $\frac{y_{2} - y_{1} }{x_{2} - x_{1} }$

 y₂ = 2

 y₁ = 8

 x₂ = 10

 x₁ = 2

 Average rate of change = $\frac{2 - 8}{10 - 2}$ = -$\frac{3}{4}$ houses per day.

Learn more:

quadratic functions brainly.com/question/8861951

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