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}](https://tex.z-dn.net/?f=%5Cfrac%7BChange%20in%20y%7D%7Bchange%20in%20x%7D)
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} }](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D%20-%20y_%7B1%7D%20%7D%7Bx_%7B2%7D%20-%20x_%7B1%7D%20%20%7D)
y₂ = 2
y₁ = 8
x₂ = 10
x₁ = 2
Average rate of change =
= -
houses per day.
Learn more:
quadratic functions brainly.com/question/8861951
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