Question

multiple choice 5 points sam traveled 7.5 kilometers from his house to reach the highway. on the highway, he travels at an average speed of 55 kilometers per hour. t the time in hours sam travels on the highway to reach a farm 22 kilometers away from his house? which equation can be solved to find t? \\(\frac{t}{55} - 7.5 = 22\\) \\(\frac{t}{55} + 7.5 = 22\\) \\(55t - 7.5 = 22\\) \\(55t + 7.5 = 22\\) clear my selection

Explanation:

Step 1: Recall the distance formula

The formula for distance is \( d = vt \), where \( d \) is distance, \( v \) is speed, and \( t \) is time.

Step 2: Analyze the problem

Sam travels 7.5 km to the highway, then travels \( t \) hours on the highway at 55 km/h. The total distance from his house to the farm is 22 km.

The distance traveled on the highway is \( 55t \) (using \( d = vt \) with \( v = 55 \) and \( t \) as time). The total distance is the distance to the highway plus the distance on the highway, so:

\( 7.5 + 55t = 22 \) (which can also be written as \( 55t + 7.5 = 22 \))

Answer:

\( 55t + 7.5 = 22 \) (the third option, or the one with \( 55t + 7.5 = 22 \))