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VashaNatasha [74]
2 years ago
13

john is looking at a map with a scale of 1/4 inch=20 miles. he measured the distance from his home to the bowling alley in town

as 2.5 inches on the map. what is the actual distance john needs to travel to get to the bowling alley from his home?
Mathematics
1 answer:
Sergio039 [100]2 years ago
5 0
1 inch=80mi

2.5*80mi=200 mi
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Answer:

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Let x represents the number of days and y represents the number of friends.

As per the statement:  After day three, he has 25 friends; after day eight, he has 40 friends.

⇒ We have two points i.e,

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First calculate slope(m);

m = \frac{y_2-y_1}{x_2-x_1}

Substitute the given values we get;

m = \frac{40-25}{8-3}=\frac{15}{5} = 3

now, substitute the given values of m=3 and a point (3, 25) in [1] we get;

y-25=3(x-3)

Using distributive property; a \cdot(b+c) = a\cdot b + a\cdot c

y-25 = 3x - 9

Add 25 on both sides, we get;

y-25+25 = 3x - 9+25

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if  x = 18 days, then;

y = 3(18) + 16 = 54+16 = 70

Therefore, he will have on day 18, if he continues to add the same number of friends each day is, 70 friends.

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