heather is training for a long-distance run. her data points listed below represent the days of practice, x, and the number of miles run, y.(1, 2.5), (2, 4.2), (4, 5.6), (6, 7), (8, 8.1), (10, 11)use the equation to interpolate the value and estimate the distance that she could have run on day 3. round to the nearest tenth of a mile.

Interpolation equation
Poit 1: (a,b)
Point 2: (c,d)
Intermediate point (x,y)

(d - b)/(c - a) = (y - b) / (x - a)

(a,b) = (2, 4.2)
(c,d) = (4, 5.6)

x = 3

(5.6 - 4.2) / (4 - 2) = (y - 4.2) / (3 -2)

y = [1.4/2]*[1] + 4.2

y = 0.7 + 4.2 = 4.9

Answer 4.9 miles

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Martebi Martebi · Answer 2 · 2022-05-25T06:18:21-04:00

Baded on the way that Heather has run a number of miles, we can say that the round off the answer to the nearest tenth of a mile is 4.6miles.

What is the expression about?

Notre that running is a from of exercise that can be done in different ways.

In the equation, there is:

Point 1: (a,b)

Point 2: (c,d)

Intermediate point (x,y)

(d - b)/(c - a) = (y - b) / (x - a)

(a,b) = (2, 4.2)

(c,d) = (4, 5.6)

x = 3

(5.6 - 4.2) / (4 - 2) = (y - 4.2) / (3 -2)

y = [1.4/2]*[1] + 4.2

y = 0.65+ 4.1 = 4.6

Therefore, the answer will be 4.6 miles

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