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ANEK [815]
3 years ago
13

The data table represents the distance between a well-known lighthouse and a cruise ship over time. The cruise ship is travellin

g at uniform speed. Which equation represents the distance (y) from the lighthouse, based on the number of hours (x)?
Number of Hours Distance from Lighthouse
(in oceanic miles)
2 53
4 95.5
6 138
8 180.5
10 223
12 265.5
14 308
16 350.5


y = 42.5x + 10.5
y = 10.5x + 32
y = 21.5x + 10.5
y = 12.25x + 28.5
y = 12.5x + 10.5
Mathematics
2 answers:
Marina86 [1]3 years ago
8 0

Answer:

y=21.5x+10.5

Step-by-step explanation:

Trava [24]3 years ago
6 0
Find the velocity first, the "slope".

m=(y2-y1)/(x2-x1)

m=(95.5-53)/(4-2)

m=21.25  ?  Your equations are wrong, I'll double check with another set of points...

m=(350.5-308)/(16-14)

m=21.25  LOL, yep none of your lines has the correct slope.

Anyway...

y=21.25x+b, using any point we can solve for the y-intercept, or "b", (2, 53)

53=21.25(2)+b

53=42.5+b

10.5=b so the distance to the lighthouse as a function of time is:

y=21.25x+10.5

So essentially, you should fire your teacher or burn that book you are using :)

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