SOLUTION: A real estate company purchased a vast area of a lakefront property. The company plans to divide the area into several lots so that customers can purchase a lot and build a home. T

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Question 935641: A real estate company purchased a vast area of a lakefront property. The company plans to divide the area into several lots so that customers can purchase a lot and build a home. The length of each lot is represented by the functions below, where w represents the width of each lot. The minimum length of a lot will be 51 feet, and the maximum length of a lot will be 204 feet.
L(w)=3w-15
What is the domain of L(w)?
a) all real numbers between and including 51 and 204
b) all real numbers
c) all real numbers greater than or equal to 5
d) all real numbers between and including 22 and 73
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

since the minimum length of a lot will be 51 feet, and the maximum length of a lot will be 204 feet, then
51+%3C=3w-15%3C=204+
51+%2B15%3C=3w-15%2B15%3C=204+%2B15
66%3C=3w%3C=219
66%2F3%3C=3w%2F3%3C=219%2F3
22%3C=w%3C=73
so, answer is d) all real numbers between and including 22 and 73