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Evgesh-ka [11]
3 years ago
10

Rafe and Sebastian both rode in a 5 mile bike race. There were so many riders that they started groups at different times. Rafe

started the race at 3:30 PM and finished the race at 4:00 PM. Sebastian started the race at 4:25 PM and finished at 4:53 PM. What was the speed, in miles per hour, of the boy who rode at a faster rate? Round to the nearest tenth if necessary.
Mathematics
1 answer:
kakasveta [241]3 years ago
4 0

Answer:

10.7 miles/hour

Step-by-step explanation:

So let's first write all the known for the question

total race = 5 mile

Rafe time 3:30~4:00pm

Sebastian time 4:25~4:53 pm

Then let's find out how much time rafe and sebastian took for races in hours and who took less time(who's faster)

Rafe time 30 min = 0.5 hours

Sebastian time 28 min = 0.467 hours

0.467 < 0.5 hours

-Hence Sebastian had faster speed.

Now let's calculate the speed of Sebastian

5 mile/0.467 hours= 10.714

Round to nearest tenth

10.7 miles/hour

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=============================================================

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Let's select two points from this graph. I'll pick (200,150) and (400,200)

The slope of the line through those points is

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You could also use (x,y) = (400,200) and you should get the same b value.

In fact, any other point from this graph works as well.

------------------------------

Since m = 0.25 and b = 100, we go from y = mx+b to y = 0.25x+100

This then translates over to M = 0.25n + 100 which is choice A

To help verify this, let's say we plugged in n = 100

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