Chapter 6.4, Problem 9E

To determine

To find: The distance from the sun to earth halfway through September.

Answer to Problem 9E

The distance from the sun to earth halfway through September is $1\cdot 0116$ .

Explanation of Solution

Given information:

The giventable is shown in figure (1).

  

Figure (1)

Calculation:

The graph is obtained by using $\text{Ti}-83$ calculator.

Press $STAT$ , select edit option and enter the $x$ and $y$ values as shown in the display.

  

Press $STAT$ , select CALC option and select QuadReg and press enter as shown the display.

  

In the display screen, Press enter to get the linear equation as shown in the display below.

  

  

Therefore, the model could be expressed with a quadratic function.

The quadratic model is.

  $E=-0\cdot 001x^2+0\cdot 014x+0\cdot 9678$

Now, press $2^{nd}$ and CALC and select VALUE, display asfollow.

  

Enter $x=9$ to find the display distance from the sun to earth half way through September, display as follows.

  

Therefore, the distance from the sun to earth halfway through September is $1\cdot 0116$ .

Therefore, the distance from the sun to earth halfway through September is $1\cdot 0116$ .