Question

On a recent trip, Lamar's distance varied directly with the number of hours he drove. He traveled 288 miles in 6 hours. Which equation shows Lamar's distance, d, based on the number of hours, h, he drove?

(A) d = 6h
(B) d = 50h
(C) d = 48h
(D) d = 288h

Answer 1

d = 48 h

Explanation:

Lamar's distance traveled is directly proportional to the number of hours be drove.

So distance (d) ∝ hours (h)

Lamar traveled 288 miles in 6 hours

Since d ∝ h

then d = kh [ where k is the proportionality constant ]

if 288 = k × 6

k = =288/48

Therefore, equation will be d = 48 h will be the equation