Question

NEED A FAST ANSWER

The graph shows the value of a car at different years after Gianna purchased it.


Which answer is the best estimate for the average rate of change between Year 4 and Year 9?





−$900/year


−$450/year


−$330/year


−$180/year

Answer 1

Answer:

Step-by-step explanation:

2.) −$180/year

Answer 2

The average rate of change between Year 4 and Year 9 is -$180 per year.

A linear equation can be used to represent a non linear line. A linear equation is of the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the value of car after x years.

From the graph, at year 4, y = 2300, hence it is (4, 2300). At year 9, y = 1400, hence it is (9, 1400). Therefore:

$Average\ rate\ of\ change=\frac{1400-2300}{9-4}= - 180$

Hence the average rate of change between Year 4 and Year 9 is -$180 per year.

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