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serious [3.7K]
3 years ago
15

The function below shows the number of car owners f(t), in thousands, in a city in different years t:

Mathematics
2 answers:
stepladder [879]3 years ago
5 0

Answer:

6.3


Step-by-step explanation:


  • <u>The number of car owners f(t) </u><u>in year 5</u><u> is found by plugging in 5 into t of the equation:</u>

f(5)=1.1(5)^{2}-2.5(5)+1.5=16.5


  • <u>The number of car owners f(t) </u><u>in year 3</u><u> is found by plugging in 3 into t of the equation:</u>

f(3)=1.1(3)^{2}-2.5(3)+1.5=3.9


So there is a change of  16.5-3.9=12.6 in the 2 years. So to get per year, we divide 12.6 by 2, to get:

\frac{12.6}{2}=6.3


Hence, <em>"The average rate of change of f(t) from t = 3 to t = 5 is </em><em>6.3 </em><em>thousand owners per year."</em>

DedPeter [7]3 years ago
3 0
Average rate of change from a to b = (f(b) - f(a))/(b - a) = {[1.1(5)^2 - 2.5(5) + 1.5] - [1.1(3)^2 - 2.5(3) + 1.5]} / (5 - 3) = (16.5 - 3.9) / 2 = 12.6 / 2 = 6.3

Therefore, t<span>he average rate of change of f(t) from t = 3 to t = 5 is 6.3 thousand owners per year.</span>
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