1. The equation is: y = 35x + 50
2. The significance of the slope is: A. The ant travels at an average of 35 meters per minute.
3. Distance would be 490 meters.
4. Number of minutes will be: 16.
Given that x = minutes, and y = distance, then we would have the following coordinates:
(2, 120)
(6, 260)
1. The slope (m) = change in y / change in x = 260 - 120 / 6 - 2
Slope (m) = 35
Substitute m = 35, and (x, y) = (2, 120) into y = mx + b to find b
120 = 35(2) + b
120 = 70 + b
120 - 70 = b
b = 50
Substitute m = 35 and b = 50 into y = mx + b to write the equation
y = 35x + 50
2. The slope of the graph 35.
The significance of the slope is: A. The ant travels at an average of 35 meters per minute.
3. When x = 14, we have:
y = 35(14) + 50
y = 490
Distance would be 490 meters.
4. Substitute y = 610 into y = 35x + 50
610 = 35x + 50
610 - 50 = 35x
560 = 35x
560/35 = 35x/35
16 = x
x = 16
Number of minutes will be: 16.
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