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Hello.
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So here we have the equation, w is equal to 5h plus 100, where w is the woman's optimal weight in pounds, h is women's height in inches above 5 feet.
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So for part a to find the optimal weight of a woman who is 6 feet tall, we just plug in, well, 6 feet is 12 inches, so plugging in 12, we get that w is going to be equal to 5 times 12, plus 100.
00:31
And we get that w then is equal to 160.
00:34
So the optimal weight, then for a woman who is six feet tall would be 160 pounds.
00:42
And the y intercept here, wow, the y intercept is just when the input is zero.
00:52
So, and then, well, the slope, we have to know the first find the slope.
00:56
The slope is going to be the coefficient on the variable.
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So therefore the slope is equal to five.
01:06
And so therefore, for every inch taller than five feet, a woman's optimal weight is going to increase by five pounds.
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And then for part c, for the vertical intercept, well, that's when the input is zero.
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So we get five times zero plus 100...