Answer:
x² + 3x - 989 = 0 (where x is the number of miles traveled on Monday)
Explanation:
Let x = number of miles traveled on Monday
Let y = number of miles traveled on Tuesday
Let z = number of miles traveled on Wednesday
Given:
- Mr. M traveled 5 miles fewer than twice the number of miles on Tuesday as Monday
⇒ y = 2x - 5
Given:
- On Wednesday he traveled 40 more than the square of the number of miles traveled Monday
⇒ z = x² + 40
Given:
- Total miles traveled = 1024
⇒ x + y + z = 1024
Substitute y = 2x - 5 and z = x² + 40 into x + y + z = 1024:
⇒ x + 2x - 5 + x² + 40 = 1024
⇒ x² + 3x + 35 = 1024
⇒ x² + 3x - 989 = 0 (where x is the number of miles traveled on Monday)