Question

Need help with son's homework I will give 30 points!!! Please show work

Daniel's house is located b miles from his school. The swimming pool is 3 miles farther from his school. His Dr. office is 4 miles less than twice the distance from home to Daniel's school.

A. Write an expression that shows the distance from Daniel's house to the swimming pool.

B. Write an expression that shows the distance from Daniel's house to his Dr's office

C. if b=3, is the swimming pool or Dr's office closer to Daniel's house? How much closer

Answer 1

A. ⇒ The expression is b + 3

B. ⇒ The expression is 2b - 4

C. ⇒ The Dr's office is closer by 4 miles

Explanation:

A.

∵ The distance between Daniel's house and his school is b miles

∵ The swimming pool is 3 miles farther from his school

∴ The distance between Daniel's house and the swimming pool is b + 3

B.

∵ The distance from Daniel's house to his Dr's office is 4 less than twice the distance from home to Daniel's school

∵ The distance between Daniel's house and his school is b

∴ The expression of distance from Daniel's house to his Dr's office is

2b - 4

C.

∵ b = 3

∴ The distance between his house and swimming pool is:

3 + 3 = 6 miles

∴ The distance between his house and Dr's office is:

2(3) - 4 = 2 miles

∴ The Dr's office is closer to Daniel's house than the swimming pool by:

6 - 2 = 4 miles