Question

travel caroline is taking a road trip on i-70 in kansas. she stops for gas at mile marker 36. her destination is at mile marker 353 in topeka, but she decides to stop at an attraction \\(\frac{3}{4}\\) of the way after stopping for gas. at about which mile marker did caroline stop to visit the attraction?

Explanation:

Step1: Find the distance to destination

First, calculate the distance from the gas stop (mile marker 36) to the destination (mile marker 353). The distance \( d = 353 - 36 = 317 \) miles.

Step2: Calculate \( \frac{3}{4} \) of this distance

Next, find \( \frac{3}{4} \) of 317 miles. The formula is \( \frac{3}{4} \times 317 \). Calculate \( \frac{3\times317}{4}=\frac{951}{4} = 237.75 \) miles.

Step3: Add to the gas stop mile marker

Now, add this distance to the gas stop mile marker (36) to find the mile marker of the attraction. So, \( 36 + 237.75 = 273.75 \).

Answer:

273.75 (or 274 if rounding to the nearest whole number)