Part 2: Solve a real-world problem using a square root function. Let x be the area of the space that Isabel rents and f(x) represent the total length of a row of bookshelves. How would you find the length of a row of bookshelves? (3 points)
Answers
Answer:
Answer: 1) y = /* √√x 2) Check below Step-by-step explanation:
f(x) = Total length of a row of bookshelves
1) The Warehouse is a square, and Isabel takes 100ft² or in case She takes up to the whole 8100 ft² area, as it's another square. Then its lenghts are congruent and equal to 10 ft or to 90ft. Then
Asquare = 100
x=100 √100 = √1² or
10 = 1
Asquare = 810
0 x=8100 √8100 = √/12
90 = 1
y or f(x)= total length of a row of bookshelves
Modelling the function:
y = 4/5* √x
y = 4/5* √100
y= 4/5 * √8100
xly
100 | 8
(...)| (...)
8100 | 72
So the Domain = [100, 8100] and the Range [8, 72]
According to this function for an area of 100 ft², the length of bookshelves are 8 ft. Until 72 feet for an area of 8100 ft²
100 ≤ x ≤ 8100 and therefore 8 ≤ y ≤ 72 2)
Function graphed below. Notice that it fits either value for x as, x fits for the area. And the Domain and the Range well defined.