Question

tiana and rei are biking in the same direction on the same path.
tiana starts riding a half hour before rei.
tiana rides at a constant speed of 12 miles per hour.
write an expression that represents the number of miles tiana travels after rei has been riding for t hours.

Explanation:

Step1: Determine Tiana's total time

Tiana starts 0.5 hours before Rei. After Rei rides for \( t \) hours, Tiana has been riding for \( t + 0.5 \) hours.

Step2: Use distance formula (\( d = vt \))

Tiana's speed \( v = 12 \) mph. Distance \( d = 12 \times (t + 0.5) \). Simplify: \( d = 12t + 6 \).

Answer:

\( 12t + 6 \)