In 2011, the price of gold reached an all-time high. The table shows the prices (in dollars per troy ounce) of gold each year since 2006 (t=0 represents 2006). Find a quadratic function that best models the data.

In 2011 the price of gold reached an alltime high The table shows the prices in dollars per troy ounce of gold each year since 2006 t0 represents 2006 Find a qu class=

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Answer:

y = 28.1739x² + 45.6478x + 617.4879 ;

$3891.36

Step-by-step explanation:

Given the data above :

We can employ an online quadratic model calculator to create a quadratic model of the data:

Year(t) ____0 ____1 ____2 ____3 ____4 ____5 (P)-603.46_695.39_871.96_972.35_1224.53_1571.52

The quadratic function obtained is :

y = 28.1739x² + 45.6478x + 617.4879

Using the model ; the price of gold in 2016 will be :

X = 2016 = 10 years (2016 - 2006)

y = 28.1739(10)^2 + 45.6478(10) + 617.4879 = 3891.3559

Hence, the predicted price of gold in 2016 using the model will be $3891.36

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