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Rainbow [258]
3 years ago
10

Write an equation that describes the function.

Mathematics
2 answers:
vlabodo [156]3 years ago
7 0
Find the slope, first:
m =  \frac{ y_{1}  - y_{2} }{ x_{1}  - x_{2} }
Use any two points, for example (1,0) and (3, -2)
m =  \frac{-2 - 0}{3 - 1}  = -1
So, the slope is -1.
Then, use the formula for any given point, y and x are constants
y -  y_{1}  = m(x -  x_{1} )
Use, for example, point (1, 0)
y - 0 = (-1)(x - 1)
y = -x +1
So, the equation is y = -x +1
Leona [35]3 years ago
5 0
From the points you get a slope of -1 using the slope in y=mx+b you get b=1 so y=-x+1
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3 years ago
Bobby and Rick are in a 16​-lap race on a​ one-mile oval track.​ Bobby, averaging 94 ​mph, has completed six laps just as Rick i
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Answer: Hello!

first let's note the things we already know:

there is a 16- lap race and the oval has one mile of length, then each of the laps has a length of one mile, and the whole race has 16 miles in total

Bobby averages 94 mph and already did 6 laps ( or 6 miles)

then we could write the Bobby equation as B(t) = 6 miles + 94mph*t

where t represents the time in hours.

now we could see how much time Bobby needs to end the race:

B(x) = 6mi + 94mph*x = 16mi

94mph*x = 16mi - 6mi = 10mi

x = (10/94)h = 0.106h

so Bobby needs 0.106 hours to finish the race, and we want to know which velocity Rick should have in order to reach the end of the race at the same time as Bobby.

Rick is starting the race, so he needs to do 16 miles in 0.106 hours, and as we know velocity is distance over time; so the average velocity of Rick is:

V = 16mi/0.106h = 150.9mph

Now let's see the hint:

Bobby does 8 miles in:

94*t = 8

t = 8/94 = 0.085 hours

and Rick does 10 miles in:

150.9*t = 10

t = 10/150.9 = 0.066 hours

wich is clearly different times, so maybe the hint is wrong.

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