Question

The total square footage of mini storage units being rented in a city is graphed to forecast future demand. The scatter plot has a trend line y=0.538x + 9.02, where x = 0 is the year 2005 and y is the total area rented (in ten thousand square feet) of all mini storage units in the city. If the total area rented continues to increase at the same rate, about how many square feet of mini storage units will be needed by the year 2018?

A 190,000 sq ft
B 160,000 sq ft
C 19,000 sq ft
D 16,000 sq ft

Answer 1

D) 16,000 sq ft

Explanation:

The scatter plot has a trend line y = 0.538x + 9.02, where "x" represents the number years and "y" represents the area rented.

x =0, when the year 2005

Here we need to find the storage area needed in the year 2018

Therefore, x = 13 in the year 2018.

Now plug in x = 13 in the given equation and find the value of y.

y = 0.538(13) + 9.02

y = 6.99 + 9.02

y = 16.01 thousand square feet

y = 16.01 *1000

y = 16,010 square feet

The nearest approximate value 16,000 sq.ft

The answer is D) 16,000 sq ft

Thank you.

Answer 2

B 160,000 sq ft

Explanation:

2018 is 13 years after 2005.

Put x=13 in the equation and evaluate:

... y = 0.538·13 +9.02 = 6.994 +9.02 = 16.014

This is the number of 10,000 sq ft, so the required area is ...

... 16 times 10,000 sq ft = 160,000 sq ft.