Question

Which equation represents this problem? The time it takes Tomás to bike to the community center is 2 minutes less than half the time it takes him to bike to the city park. It takes Tomás 18 minutes to bike to the community center. Let p = the time it takes Tomás to bike to the park.

A. 2p+12=18
B.12p+2=18
C.2p–12=18
D.12p–2=18

Answer 1

The equation that represents this problem is
`(1)/(2)` p - 2 = 18 ⇒ D

Explanation:

Let us solve the question

∵ p is the time it takes Tomás to bike to the park

∵ The time it takes Tomás to bike to the community center is 2 minutes

less than half the time it takes him to bike to the city park

→ That means multiply p by
`(1)/(2)` , then subtract 2 from it

∴ The time to the community center =
`(1)/(2)` (p) - 2

∴ The time to the community center =
`(1)/(2)` p - 2

∵ It takes Tomás 18 minutes to bike to the community center

→ Equate The time to the community center by 18

∴
`(1)/(2)` p - 2 = 18

∴ The equation that represents this problem is
`(1)/(2)` p - 2 = 18