Question

Matthew is training to participate in a half marathon. The table below shows the number of miles he runs in weeks 1 and 2. Week Number of Miles Run 1 12.5 2 13.5 Each week, Matthew increases the number of miles he runs in the previous week by the same percent. How many miles does Matthew run in week 3? Do not round your answer.

Answer 1

Answer:

Mathew runs in 3rd week = 14.58 miles

Step-by-step explanation:

Mathew is training to participate in a half marathon.

In week 1 he runs 12.5 miles.

Similarly he runs 13.5 miles in week 2.

So the difference in distance he runs from week 1 to week 2 is

13.5 - 12.5 = 1 mile

Now % difference in distance from week 1 to week 2

= $\frac{1}{12.5}\times 100$

= 8%

Now it is given in the question that Mathew increases the same percent of distance to run in every successive week.

So increase of distance in third week = 8% of 13.5 miles

= $\frac{8}{100}(13.5)=1.08$ miles

Distance to run in 3rd week = 13.5 + 1.08 = 14.58 miles

Answer 2

I think the only way to properly create a back to back stem plot here is to convert meters to feet or feet to meters. The conversion is 1 ft = 12 in = 30.48 cm = .3048 meters. Since this is a guesstimate, you could also say that a foot is about 1/3 of a meter, and divide all feet values by 3. Then create a back to back with the new values, rounded to nearest whole number. Hope this helps