Question

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.

Answer 1

(0,346)(2,344.8)
slope = (344.8 - 346) / (2 - 0) = -1.2 / 2 = -0.6

y = mx + b
slope(m) = -0.6
(0,346)...x = 0 and y = 346
now we sub and find b, the y int
346 = -0.6(0) + b
346 = b
so ur equation is : y = -0.6x + 346....with x being the number of weeks

after 4 weeks...
y = -0.6(4) + 346
y = - 2.4 + 346
y = 343.6 <==== after 4 weeks

after 9 weeks..
y = -0.6(9) + 346
y = -5.4 + 346
y = 340.6 <=== after 9 weeks