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Crank
3 years ago
8

The Taylor family went on vacation. They traveled 412 miles on Monday. At the end of the day Tuesday, the average speed of the c

ar for the day was 56 mph. What function can be used to determine the total miles (t) traveled on Monday and Tuesday where h reperesents the number of hours traveled on Tuesday
Mathematics
1 answer:
mixer [17]3 years ago
7 0

Answer:

d = 56x + 412

Step-by-step explanation:

To find the total number of miles traveled on Monday and Tuesday, use a linear equation to write the function.

y = mx+b where m is the speed or rate of change and b is the starting point.

The starting point on Tuesday is 412 miles. This is b.

The number of miles traveled on Tuesday is found by calculating 56 miles times the number of hours traveled.  This is the slope or m.

So the equation is d = 56h + 412.

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Step-by-step explanation:

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(-2,-11);slope=4 write the equation of the line
wolverine [178]

Answer:  y = 4x-3

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

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Using point slope form, we can say,

y - y_1 = m(x - x_1)\\\\y - (-11) = 4(x - (-2))\\\\y + 11 = 4(x + 2)\\\\y + 11 = 4x + 8\\\\y + 11-11 = 4x + 8-11\\\\y = 4x - 3\\\\

The equation is in slope intercept form y = mx+b

m = 4 = slope

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

As an alternative, you can use y = mx+b to get the same answer. We'll plug in m = 4 and (x,y) = (-2,-11) to solve for b

y = mx+b

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

To check the answer, plug x = -2 into the equation. We should get y = -11

y = 4x-3

y = 4(-2)-3

y = -8-3

y = -11 we get the proper y value. The answer is confirmed.

3 0
3 years ago
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wel

Answer:

1) B

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