Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
The table shows data gathered by an environmental agency about the decreasing depth of a lake during the first few months of a drought.

Time (weeks) Lake Depth (feet)
0 346.0
2 344.8
5 343.0
7 341.8
10 340.0
12 338.8
The lake's depth after four weeks will be
feet, and its depth after nine weeks will be
feet.

Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
The table shows data gathered by an environmental agency about the decreasing depth of a lake during the first few months of a drought.

Time (weeks) Lake Depth (feet)
0 346.0
2 344.8
5 343.0
7 341.8
10 340.0
12 338.8
The lake's depth after four weeks will be 
feet, and its depth after nine weeks will be 
feet.

Mercury · Answer

if you try plotting the points that are already there, you should see that it's linear

therefore, the value at week 1 is simply the average of week 0 and week 2's average

the difference between week 1 - week 0 is the slope. the week 0 value of 346.0 is the y-intercept.

so from there you can make a y = mx + b equation, and plug in the appropriate x values to solve for week 4 and week 9 depth