The following table shows the depth D , in inches, of water in a pond after $d$ days of eva- poration. Find a linear model for depth as a function of days.

A) $D = - 2 d + 769$
B) $D = 763.67 d + - 0.67$
C) $D = - 0.67 d + 763.67$
D) $D = 769 d + - 2$

Question

The following table shows the depth D , in inches, of water in a pond after $d$ days of eva- poration. Find a linear model for depth as a function of days.

A) $D = - 2 d + 769$ 
B) $D = 763.67 d + - 0.67$ 
C) $D = - 0.67 d + 763.67$ 
D) $D = 769 d + - 2$

Quizplus · Accepted Answer

To find the linear model, we need to find the slope and intercept of the line. We can use the two given data points to do this. Using the points (0, 764) and (15, 763), we get a slope of (763-764)/(15-0) = -0.067 and an intercept of 764. Therefore, the linear model is: D = -0.67d + 763.67. Choice C matches this form.

The Following Table Shows the Depth D , in Inches ddd

The Following Table Shows the Depth D , in Inches $d$