Answer:
The answer is below
Step-by-step explanation:
The equation of a straight line is given as:
y = mx + b; where m is the slope of the line and b is the y intercept (that is value of y at x = 0).
a) From the graph, we can see that the straight line touches the y axis at $100 in which the temperature is 0 degrees. Therefore the y intercept is:
(0, 100)
b) The slope of the line can be gotten by taking two points that the line passes through. Using the points (0, 100) and (12, 500):
![slope(m)=\frac{y_2-y_1}{x_2-x_1} =\frac{500-100}{12-0} =33.3](https://tex.z-dn.net/?f=slope%28m%29%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20%3D%5Cfrac%7B500-100%7D%7B12-0%7D%20%3D33.3)
Answer:
33 1/3 lb
Step-by-step explanation:
When the distance between them goes from 8 ft to 12 ft, it is 1.5 times what it was. Then the force will be multiplied by the inverse of the square of this:
(75 lb)×1/(1.5²) = 75/2.25 lb = 33 1/3 lb
At 12 feet apart, the attraction force is 33 1/3 pounds.