The value of a brand new SUV is currently $15,400. After every year, the value of the SUV decreases by 10%.
a)First construct an exponential decay equation:

(A) V = 15400(1 – 10)t

(B) V = 15400(1 – 0.10)t

(C) V = 15400(0.10)t

(D) V = 15400(10 – 0.10)t

b) When will the value of the SUV be $12,465?

t =

(A) 1 year

(B) 2 years

(C) 3 years

(D) 4 years

b. 2 yrs

Step-by-step explanation:

-Given the initial value at time t=0 as $15,400 and the decay rate as 10%.

-The exponential decay is given by the formula;

We can therefore write our decay expression as;

Hence, our exponential decay equation is

b. Having determined the decay function as , we make $12465 our y value and solve for time, t;

Hence, the value of the car will be $12,465 after 2 years

an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.

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