Question

"UCI main campus is ____ acres

San Joaquin marsh is ____ acres
UCI medical center is ____ acres
Total acres ____"
A) 500; 100; 50; 650
B) 200; 300; 150; 650
C) 800; 1000; 200; 2000
D) 350; 250; 500; 1100

Answer 1

Using the linear equation ŷ = 1350 - 1.2x, it is calculated that after 20 hours of work, 1326 acres are left, after 100 hours, 1230 acres are left, and it takes 1125 hours to mow the entire 1345 acres.

Step-by-step explanation:

The student's question involves solving problems using a linear equation, which is a mathematical concept typically found in algebra. The provided equation is ŷ = 1350 - 1.2x, which relates the number of acres left to mow (ŷ) to the number of hours of work (x).

Exercise Answers

1. After 20 hours, to find the number of acres left to mow, we substitute x with 20 in the equation: ŷ = 1350 - 1.2(20) = 1350 - 24 = 1326 acres.
2. After 100 hours, substituting x with 100 gives us: ŷ = 1350 - 1.2(100) = 1350 - 120 = 1230 acres.
3. To find when all lawns are mowed (ŷ = 0), we solve for x: 0 = 1350 - 1.2x, which gives x = 1350 / 1.2 = 1125 hours.

Summary: After 20 hours of work, there are 1326 acres left to mow. After 100 hours, there are 1230 acres remaining. It takes 1125 hours to mow all the lawns.