Question

Carla and Ross competed in the long-jump at a track meet. Carla jumped 3.5 meters. Ross jumped 99 inches. Who jumped farther and by approximately how many feet? Use 1 m - 3.27 ft. Complete the explanation for how you solved this problem. Round decimals to the nearest hundredth. Carla jumped about __ feet farther. First, find the distance Carla and Ross jumped in feet. Carla jumped about __ feet, and Ross jumped __ feet. Then, subtract __ from __ to find how much farther Carla jumped.

Answer 1

The first step we need to do is use the conversion rates from meter to feet and from inches to feet:

1 meter = 3.27 feet

1 inch = 1/12 feet

Now, let's convert each distance to feet:

`\begin{gathered} 3.5\text{ meters}=3.5\cdot3.27=11.44\text{ feet} \\ 99\text{ inches}=99\cdot(1)/(12)=8.25\text{ feet} \end{gathered}`

Now that we have both distances in feet, we can see that Carla jumped farther, because her distance is greater.

The distance she jumped farther is:

`11.44-8.25=3.19\text{ feet}`

So the answer is:

Carla jumped about 3.19 feet farther. First, find the distance Carla and Ross jumped in feet. Carla jumped about 11.44 feet, and Ross jumped 8.25 feet. Then, subtract 11.44 from 8.25 to find how much farther Carla jumped.​