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Rashid [163]
3 years ago
11

Megan started biking to the internet cafe traveling 9 mph, after some time the bike got a flat so Megan walked the rest of the w

ay, traveling 7 mph. If the total trip to the internet cafe took 9 hours and it was 75 miles away, how long did Megan travel at each speed
Mathematics
2 answers:
Mariulka [41]3 years ago
8 0

Answer: d=54 miles

Step-by-step explanation:

We let the distance megan covered =d

And the distance she walked to the cafe will be :

75 - d

Therefore

d/9 + (75 - d) / 7 =9

L.c.m is 63

7d+9(75-d)=63×9

7d+675-9d=567

-2d=567-675

d=108/2

d=54

d=54 miles

Bess [88]3 years ago
5 0

Answer:

Megan travelled at 9mph for 6 hours and 7mph for 3 hours

Step-by-step explanation:

Speed = distance / time

Speed*time = distance

Assuming that Megan travelled x hours at 9mph

(9*x) + (7*(9-x)) = 75

x = 6 hours

So Megan travelled at 9mph for 6 hours and 7mph for 3 hours

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Option B: 5 is the value of f(3)

Explanation:

The equation of the piecewise function is given by

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The value of the function f can be determined when x=3 by identifying in which interval does the value of x=3 lie in the piecewise function.

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Explanation:


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