Question

let n be the number of oil refineries at t years since 2003. a reasonable model of the number of oil refineries is n = -3.24t + 147.62.
a. what is the slope? what does it mean in this situation?
b. what is the n-intercept? what does it mean in this situation?
c. predict the number of refineries in 2013.

what does the n-intercept mean in this situation?
a. it means the number of refineries in 2003 was about 147.62.
b. it means the number of refineries in 2003 was about 3.24.
c. it means that the number of refineries are decreasing by about 3.24 per year.
d. it means that the number of refineries are decreasing by about 147.62 per year.
c. predict the number of refineries in 2013.
the number of refineries will be about \square.
(round to the nearest whole number as needed.)

Explanation:

Step1: Determine t for 2013

t is years since 2003, so 2013 - 2003 = 10. Thus, t = 10.

Step2: Substitute t into the model

The model is \( n = -3.24t + 147.62 \). Substitute t = 10: \( n = -3.24(10) + 147.62 \).

Step3: Calculate the value

First, \( -3.24(10) = -32.4 \). Then, \( -32.4 + 147.62 = 115.22 \).

Step4: Round to nearest whole number

115.22 rounded to the nearest whole number is 115.

Answer:

115