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3 years ago

Calculate the average rate of change for the given graph from x = –2 to x = 0 and select the correct answer below.

Mathematics

1 answer:

telo118 [61]3 years ago

3 0

We need to find f(x) on those 2 points and than divide y length (f(x2)-f(x1)) with x lenght (x2 - x1) to find average

f(x = -2) = 0

f(x = 0) = 6

Avg = 6 / 2 = 3

Answer is C

We have to use absolute valuee for x distance because distance between x1 and x2 cannot be negative it can only be positive.

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yuradex [85]

Hello from MrBillDoesMath!

Answer: The relationship is linear. The equation is y = 2x + 19

Discussion:

When x changes from -7 to -5 ( and increment of of +2), y changes from 5 to 9 ( an increment of +4). When x changes from 5 to -3 (an increment of +2) , y changes from 9 to 13 (an increment of +4)... and so on.....

So far, when x changes by 2, y changes by 4. This means the data falls on a line (so is linear). In fact,

(change in y) / (change in x) = 4/2 = 2 = slope of line.

so y = 2x + b. As the line passes through the point ( -7, 5)

5 = 2 (-7) + b or

5 = -14 + b or ( adding 14 to both sides)

5 + 14 = 19 = b.

Hence the equitation the line is y = 2x + 19

Thank you,

MrB

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2 years ago

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Natasha2012 [34]

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